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Finding the Fourth Proportional to 877.60, 1,316.64 and 493.12

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Solution

The fourth proportional to 877.60, 1,316.64 and 493.12 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.60 : 1,316.64 = 493.12 : x
  2. Step 2: Convert to fraction form
    877.60/1,316.64 = 493.12/x
  3. Step 3: Cross multiply
    877.60x = 1,316.64 × 493.12
  4. Step 4: Simplify right side
    877.60x = 649,261.52
  5. Step 5: Solve for x
    x = 649,261.52/877.60
  6. Step 6: Final answer
    x = 739.81

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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.