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Finding the Fourth Proportional to 892.95, 1,232.35 and 514.90

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Solution

The fourth proportional to 892.95, 1,232.35 and 514.90 is: 710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.95 : 1,232.35 = 514.90 : x
  2. Step 2: Convert to fraction form
    892.95/1,232.35 = 514.90/x
  3. Step 3: Cross multiply
    892.95x = 1,232.35 × 514.90
  4. Step 4: Simplify right side
    892.95x = 634,532.65
  5. Step 5: Solve for x
    x = 634,532.65/892.95
  6. Step 6: Final answer
    x = 710.60

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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.