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Finding the Fourth Proportional to 1,047.29, 1,569.86 and 353.73

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Solution

The fourth proportional to 1,047.29, 1,569.86 and 353.73 is: 530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.29 : 1,569.86 = 353.73 : x
  2. Step 2: Convert to fraction form
    1,047.29/1,569.86 = 353.73/x
  3. Step 3: Cross multiply
    1,047.29x = 1,569.86 × 353.73
  4. Step 4: Simplify right side
    1,047.29x = 555,304.81
  5. Step 5: Solve for x
    x = 555,304.81/1,047.29
  6. Step 6: Final answer
    x = 530.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.