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Finding the Fourth Proportional to 815.42, 1,125.02 and 500.52

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Solution

The fourth proportional to 815.42, 1,125.02 and 500.52 is: 690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.42 : 1,125.02 = 500.52 : x
  2. Step 2: Convert to fraction form
    815.42/1,125.02 = 500.52/x
  3. Step 3: Cross multiply
    815.42x = 1,125.02 × 500.52
  4. Step 4: Simplify right side
    815.42x = 563,096.26
  5. Step 5: Solve for x
    x = 563,096.26/815.42
  6. Step 6: Final answer
    x = 690.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.