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Finding the Fourth Proportional to 951.80, 1,312.64 and 597.75

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Solution

The fourth proportional to 951.80, 1,312.64 and 597.75 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,312.64 = 597.75 : x
  2. Step 2: Convert to fraction form
    951.80/1,312.64 = 597.75/x
  3. Step 3: Cross multiply
    951.80x = 1,312.64 × 597.75
  4. Step 4: Simplify right side
    951.80x = 784,632.49
  5. Step 5: Solve for x
    x = 784,632.49/951.80
  6. Step 6: Final answer
    x = 824.36

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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.