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Finding the Fourth Proportional to 753.14, 1,038.84 and 491.13

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Solution

The fourth proportional to 753.14, 1,038.84 and 491.13 is: 677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.14 : 1,038.84 = 491.13 : x
  2. Step 2: Convert to fraction form
    753.14/1,038.84 = 491.13/x
  3. Step 3: Cross multiply
    753.14x = 1,038.84 × 491.13
  4. Step 4: Simplify right side
    753.14x = 510,205.49
  5. Step 5: Solve for x
    x = 510,205.49/753.14
  6. Step 6: Final answer
    x = 677.44

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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.