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Finding the Fourth Proportional to 934.77, 1,290.32 and 580.76

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Solution

The fourth proportional to 934.77, 1,290.32 and 580.76 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.77 : 1,290.32 = 580.76 : x
  2. Step 2: Convert to fraction form
    934.77/1,290.32 = 580.76/x
  3. Step 3: Cross multiply
    934.77x = 1,290.32 × 580.76
  4. Step 4: Simplify right side
    934.77x = 749,366.24
  5. Step 5: Solve for x
    x = 749,366.24/934.77
  6. Step 6: Final answer
    x = 801.66

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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.