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Finding the Fourth Proportional to 735.97, 1,098.70 and 710.35

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Solution

The fourth proportional to 735.97, 1,098.70 and 710.35 is: 1,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.97 : 1,098.70 = 710.35 : x
  2. Step 2: Convert to fraction form
    735.97/1,098.70 = 710.35/x
  3. Step 3: Cross multiply
    735.97x = 1,098.70 × 710.35
  4. Step 4: Simplify right side
    735.97x = 780,461.55
  5. Step 5: Solve for x
    x = 780,461.55/735.97
  6. Step 6: Final answer
    x = 1,060.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.