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Finding the Fourth Proportional to 877.78, 1,316.13 and 493.30

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Solution

The fourth proportional to 877.78, 1,316.13 and 493.30 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 1,316.13 = 493.30 : x
  2. Step 2: Convert to fraction form
    877.78/1,316.13 = 493.30/x
  3. Step 3: Cross multiply
    877.78x = 1,316.13 × 493.30
  4. Step 4: Simplify right side
    877.78x = 649,246.93
  5. Step 5: Solve for x
    x = 649,246.93/877.78
  6. Step 6: Final answer
    x = 739.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.