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Finding the Fourth Proportional to 702.89, 1,053.99 and 312.76

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Solution

The fourth proportional to 702.89, 1,053.99 and 312.76 is: 468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.89 : 1,053.99 = 312.76 : x
  2. Step 2: Convert to fraction form
    702.89/1,053.99 = 312.76/x
  3. Step 3: Cross multiply
    702.89x = 1,053.99 × 312.76
  4. Step 4: Simplify right side
    702.89x = 329,645.91
  5. Step 5: Solve for x
    x = 329,645.91/702.89
  6. Step 6: Final answer
    x = 468.99

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