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Finding the Fourth Proportional to 1,061.29, 1,464.57 and 619.10

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Solution

The fourth proportional to 1,061.29, 1,464.57 and 619.10 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.29 : 1,464.57 = 619.10 : x
  2. Step 2: Convert to fraction form
    1,061.29/1,464.57 = 619.10/x
  3. Step 3: Cross multiply
    1,061.29x = 1,464.57 × 619.10
  4. Step 4: Simplify right side
    1,061.29x = 906,718.52
  5. Step 5: Solve for x
    x = 906,718.52/1,061.29
  6. Step 6: Final answer
    x = 854.36

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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.