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Finding the Fourth Proportional to 735.66, 1,099.18 and 710.15

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Solution

The fourth proportional to 735.66, 1,099.18 and 710.15 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,099.18 = 710.15 : x
  2. Step 2: Convert to fraction form
    735.66/1,099.18 = 710.15/x
  3. Step 3: Cross multiply
    735.66x = 1,099.18 × 710.15
  4. Step 4: Simplify right side
    735.66x = 780,575.41
  5. Step 5: Solve for x
    x = 780,575.41/735.66
  6. Step 6: Final answer
    x = 1,061.05

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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.