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Finding the Fourth Proportional to 970.14, 1,338.47 and 638.91

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Solution

The fourth proportional to 970.14, 1,338.47 and 638.91 is: 881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.14 : 1,338.47 = 638.91 : x
  2. Step 2: Convert to fraction form
    970.14/1,338.47 = 638.91/x
  3. Step 3: Cross multiply
    970.14x = 1,338.47 × 638.91
  4. Step 4: Simplify right side
    970.14x = 855,151.98
  5. Step 5: Solve for x
    x = 855,151.98/970.14
  6. Step 6: Final answer
    x = 881.47

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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.