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Finding the Fourth Proportional to 1,122.55, 1,684.16 and 575.10

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Solution

The fourth proportional to 1,122.55, 1,684.16 and 575.10 is: 862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.55 : 1,684.16 = 575.10 : x
  2. Step 2: Convert to fraction form
    1,122.55/1,684.16 = 575.10/x
  3. Step 3: Cross multiply
    1,122.55x = 1,684.16 × 575.10
  4. Step 4: Simplify right side
    1,122.55x = 968,560.42
  5. Step 5: Solve for x
    x = 968,560.42/1,122.55
  6. Step 6: Final answer
    x = 862.82

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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.