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Finding the Fourth Proportional to 951.29, 1,312.32 and 597.03

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Solution

The fourth proportional to 951.29, 1,312.32 and 597.03 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.29 : 1,312.32 = 597.03 : x
  2. Step 2: Convert to fraction form
    951.29/1,312.32 = 597.03/x
  3. Step 3: Cross multiply
    951.29x = 1,312.32 × 597.03
  4. Step 4: Simplify right side
    951.29x = 783,494.41
  5. Step 5: Solve for x
    x = 783,494.41/951.29
  6. Step 6: Final answer
    x = 823.61

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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.