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Finding the Fourth Proportional to 798.04, 1,102.17 and 710.56

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Solution

The fourth proportional to 798.04, 1,102.17 and 710.56 is: 981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.04 : 1,102.17 = 710.56 : x
  2. Step 2: Convert to fraction form
    798.04/1,102.17 = 710.56/x
  3. Step 3: Cross multiply
    798.04x = 1,102.17 × 710.56
  4. Step 4: Simplify right side
    798.04x = 783,157.92
  5. Step 5: Solve for x
    x = 783,157.92/798.04
  6. Step 6: Final answer
    x = 981.35

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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.