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Finding the Fourth Proportional to 877.02, 1,314.42 and 824.52

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Solution

The fourth proportional to 877.02, 1,314.42 and 824.52 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,314.42 = 824.52 : x
  2. Step 2: Convert to fraction form
    877.02/1,314.42 = 824.52/x
  3. Step 3: Cross multiply
    877.02x = 1,314.42 × 824.52
  4. Step 4: Simplify right side
    877.02x = 1,083,765.58
  5. Step 5: Solve for x
    x = 1,083,765.58/877.02
  6. Step 6: Final answer
    x = 1,235.74

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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.