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Finding the Fourth Proportional to 729,962, 1,000,031.14 and 702,670.97

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Solution

The fourth proportional to 729,962, 1,000,031.14 and 702,670.97 is: 962,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,962 : 1,000,031.14 = 702,670.97 : x
  2. Step 2: Convert to fraction form
    729,962/1,000,031.14 = 702,670.97/x
  3. Step 3: Cross multiply
    729,962x = 1,000,031.14 × 702,670.97
  4. Step 4: Simplify right side
    729,962x = 702,692,851,174.01
  5. Step 5: Solve for x
    x = 702,692,851,174.01/729,962
  6. Step 6: Final answer
    x = 962,643.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.