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Finding the Fourth Proportional to 778,681, 1,073,606.16 and 649,805.14

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Solution

The fourth proportional to 778,681, 1,073,606.16 and 649,805.14 is: 895,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,681 : 1,073,606.16 = 649,805.14 : x
  2. Step 2: Convert to fraction form
    778,681/1,073,606.16 = 649,805.14/x
  3. Step 3: Cross multiply
    778,681x = 1,073,606.16 × 649,805.14
  4. Step 4: Simplify right side
    778,681x = 697,634,801,103.66
  5. Step 5: Solve for x
    x = 697,634,801,103.66/778,681
  6. Step 6: Final answer
    x = 895,918.61

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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.