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Finding the Fourth Proportional to 702.64, 969.62 and 403.93

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Solution

The fourth proportional to 702.64, 969.62 and 403.93 is: 557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.64 : 969.62 = 403.93 : x
  2. Step 2: Convert to fraction form
    702.64/969.62 = 403.93/x
  3. Step 3: Cross multiply
    702.64x = 969.62 × 403.93
  4. Step 4: Simplify right side
    702.64x = 391,658.61
  5. Step 5: Solve for x
    x = 391,658.61/702.64
  6. Step 6: Final answer
    x = 557.41

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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.