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Finding the Fourth Proportional to 729,894, 1,007,698.41 and 500,827.62

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Solution

The fourth proportional to 729,894, 1,007,698.41 and 500,827.62 is: 691,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,894 : 1,007,698.41 = 500,827.62 : x
  2. Step 2: Convert to fraction form
    729,894/1,007,698.41 = 500,827.62/x
  3. Step 3: Cross multiply
    729,894x = 1,007,698.41 × 500,827.62
  4. Step 4: Simplify right side
    729,894x = 504,683,196,358.08
  5. Step 5: Solve for x
    x = 504,683,196,358.08/729,894
  6. Step 6: Final answer
    x = 691,447.25

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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.