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Finding the Fourth Proportional to 1,151.34, 1,588.19 and 708.92

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Solution

The fourth proportional to 1,151.34, 1,588.19 and 708.92 is: 977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.34 : 1,588.19 = 708.92 : x
  2. Step 2: Convert to fraction form
    1,151.34/1,588.19 = 708.92/x
  3. Step 3: Cross multiply
    1,151.34x = 1,588.19 × 708.92
  4. Step 4: Simplify right side
    1,151.34x = 1,125,899.65
  5. Step 5: Solve for x
    x = 1,125,899.65/1,151.34
  6. Step 6: Final answer
    x = 977.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.