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Finding the Fourth Proportional to 1,019,464, 1,406,862 and 566,755

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Solution

The fourth proportional to 1,019,464, 1,406,862 and 566,755 is: 782,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,464 : 1,406,862 = 566,755 : x
  2. Step 2: Convert to fraction form
    1,019,464/1,406,862 = 566,755/x
  3. Step 3: Cross multiply
    1,019,464x = 1,406,862 × 566,755
  4. Step 4: Simplify right side
    1,019,464x = 797,346,072,810
  5. Step 5: Solve for x
    x = 797,346,072,810/1,019,464
  6. Step 6: Final answer
    x = 782,122.83

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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.