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Finding the Fourth Proportional to 769.45, 1,059.47 and 707.53

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Solution

The fourth proportional to 769.45, 1,059.47 and 707.53 is: 974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.45 : 1,059.47 = 707.53 : x
  2. Step 2: Convert to fraction form
    769.45/1,059.47 = 707.53/x
  3. Step 3: Cross multiply
    769.45x = 1,059.47 × 707.53
  4. Step 4: Simplify right side
    769.45x = 749,603.28
  5. Step 5: Solve for x
    x = 749,603.28/769.45
  6. Step 6: Final answer
    x = 974.21

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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.