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Finding the Fourth Proportional to 1,061.24, 1,464.26 and 618.92

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Solution

The fourth proportional to 1,061.24, 1,464.26 and 618.92 is: 853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.24 : 1,464.26 = 618.92 : x
  2. Step 2: Convert to fraction form
    1,061.24/1,464.26 = 618.92/x
  3. Step 3: Cross multiply
    1,061.24x = 1,464.26 × 618.92
  4. Step 4: Simplify right side
    1,061.24x = 906,259.80
  5. Step 5: Solve for x
    x = 906,259.80/1,061.24
  6. Step 6: Final answer
    x = 853.96

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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.