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Finding the Fourth Proportional to 1,153.38, 1,591.68 and 687.63

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Solution

The fourth proportional to 1,153.38, 1,591.68 and 687.63 is: 948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.38 : 1,591.68 = 687.63 : x
  2. Step 2: Convert to fraction form
    1,153.38/1,591.68 = 687.63/x
  3. Step 3: Cross multiply
    1,153.38x = 1,591.68 × 687.63
  4. Step 4: Simplify right side
    1,153.38x = 1,094,478.96
  5. Step 5: Solve for x
    x = 1,094,478.96/1,153.38
  6. Step 6: Final answer
    x = 948.94

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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.