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Finding the Fourth Proportional to 877.47, 1,209.93 and 597.87

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Solution

The fourth proportional to 877.47, 1,209.93 and 597.87 is: 824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.47 : 1,209.93 = 597.87 : x
  2. Step 2: Convert to fraction form
    877.47/1,209.93 = 597.87/x
  3. Step 3: Cross multiply
    877.47x = 1,209.93 × 597.87
  4. Step 4: Simplify right side
    877.47x = 723,380.85
  5. Step 5: Solve for x
    x = 723,380.85/877.47
  6. Step 6: Final answer
    x = 824.39

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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.