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Finding the Fourth Proportional to 912.42, 1,368.90 and 542.52

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Solution

The fourth proportional to 912.42, 1,368.90 and 542.52 is: 813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,368.90 = 542.52 : x
  2. Step 2: Convert to fraction form
    912.42/1,368.90 = 542.52/x
  3. Step 3: Cross multiply
    912.42x = 1,368.90 × 542.52
  4. Step 4: Simplify right side
    912.42x = 742,655.63
  5. Step 5: Solve for x
    x = 742,655.63/912.42
  6. Step 6: Final answer
    x = 813.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.