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Finding the Fourth Proportional to 1,121.85, 1,547.49 and 729.13

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Solution

The fourth proportional to 1,121.85, 1,547.49 and 729.13 is: 1,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.85 : 1,547.49 = 729.13 : x
  2. Step 2: Convert to fraction form
    1,121.85/1,547.49 = 729.13/x
  3. Step 3: Cross multiply
    1,121.85x = 1,547.49 × 729.13
  4. Step 4: Simplify right side
    1,121.85x = 1,128,321.38
  5. Step 5: Solve for x
    x = 1,128,321.38/1,121.85
  6. Step 6: Final answer
    x = 1,005.77

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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.