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Finding the Fourth Proportional to 738.66, 1,017.14 and 632.96

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Solution

The fourth proportional to 738.66, 1,017.14 and 632.96 is: 871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,017.14 = 632.96 : x
  2. Step 2: Convert to fraction form
    738.66/1,017.14 = 632.96/x
  3. Step 3: Cross multiply
    738.66x = 1,017.14 × 632.96
  4. Step 4: Simplify right side
    738.66x = 643,808.93
  5. Step 5: Solve for x
    x = 643,808.93/738.66
  6. Step 6: Final answer
    x = 871.59

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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.