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Finding the Fourth Proportional to 963.74, 1,330.08 and 614.90

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Solution

The fourth proportional to 963.74, 1,330.08 and 614.90 is: 848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.74 : 1,330.08 = 614.90 : x
  2. Step 2: Convert to fraction form
    963.74/1,330.08 = 614.90/x
  3. Step 3: Cross multiply
    963.74x = 1,330.08 × 614.90
  4. Step 4: Simplify right side
    963.74x = 817,866.19
  5. Step 5: Solve for x
    x = 817,866.19/963.74
  6. Step 6: Final answer
    x = 848.64

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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.