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Finding the Fourth Proportional to 951.53, 1,312.10 and 653.21

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Solution

The fourth proportional to 951.53, 1,312.10 and 653.21 is: 900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.53 : 1,312.10 = 653.21 : x
  2. Step 2: Convert to fraction form
    951.53/1,312.10 = 653.21/x
  3. Step 3: Cross multiply
    951.53x = 1,312.10 × 653.21
  4. Step 4: Simplify right side
    951.53x = 857,074.38
  5. Step 5: Solve for x
    x = 857,074.38/951.53
  6. Step 6: Final answer
    x = 900.74

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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.