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Finding the Fourth Proportional to 702.97, 1,054.01 and 312.95

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Solution

The fourth proportional to 702.97, 1,054.01 and 312.95 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.97 : 1,054.01 = 312.95 : x
  2. Step 2: Convert to fraction form
    702.97/1,054.01 = 312.95/x
  3. Step 3: Cross multiply
    702.97x = 1,054.01 × 312.95
  4. Step 4: Simplify right side
    702.97x = 329,855.85
  5. Step 5: Solve for x
    x = 329,855.85/702.97
  6. Step 6: Final answer
    x = 469.23

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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.