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Finding the Fourth Proportional to 970.46, 1,337.08 and 638.30

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Solution

The fourth proportional to 970.46, 1,337.08 and 638.30 is: 879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.46 : 1,337.08 = 638.30 : x
  2. Step 2: Convert to fraction form
    970.46/1,337.08 = 638.30/x
  3. Step 3: Cross multiply
    970.46x = 1,337.08 × 638.30
  4. Step 4: Simplify right side
    970.46x = 853,458.16
  5. Step 5: Solve for x
    x = 853,458.16/970.46
  6. Step 6: Final answer
    x = 879.44

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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.