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Finding the Fourth Proportional to 951.33, 1,312.46 and 597.11

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Solution

The fourth proportional to 951.33, 1,312.46 and 597.11 is: 823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.33 : 1,312.46 = 597.11 : x
  2. Step 2: Convert to fraction form
    951.33/1,312.46 = 597.11/x
  3. Step 3: Cross multiply
    951.33x = 1,312.46 × 597.11
  4. Step 4: Simplify right side
    951.33x = 783,677.36
  5. Step 5: Solve for x
    x = 783,677.36/951.33
  6. Step 6: Final answer
    x = 823.77

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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.