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Finding the Fourth Proportional to 702.32, 1,053.64 and 377.68

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Solution

The fourth proportional to 702.32, 1,053.64 and 377.68 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.32 : 1,053.64 = 377.68 : x
  2. Step 2: Convert to fraction form
    702.32/1,053.64 = 377.68/x
  3. Step 3: Cross multiply
    702.32x = 1,053.64 × 377.68
  4. Step 4: Simplify right side
    702.32x = 397,938.76
  5. Step 5: Solve for x
    x = 397,938.76/702.32
  6. Step 6: Final answer
    x = 566.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.