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Finding the Fourth Proportional to 946.32, 1,305.71 and 553.16

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Solution

The fourth proportional to 946.32, 1,305.71 and 553.16 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.32 : 1,305.71 = 553.16 : x
  2. Step 2: Convert to fraction form
    946.32/1,305.71 = 553.16/x
  3. Step 3: Cross multiply
    946.32x = 1,305.71 × 553.16
  4. Step 4: Simplify right side
    946.32x = 722,266.54
  5. Step 5: Solve for x
    x = 722,266.54/946.32
  6. Step 6: Final answer
    x = 763.24

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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.