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Finding the Fourth Proportional to 1,284.18, 1,925.76 and 462.20

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Solution

The fourth proportional to 1,284.18, 1,925.76 and 462.20 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,925.76 = 462.20 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,925.76 = 462.20/x
  3. Step 3: Cross multiply
    1,284.18x = 1,925.76 × 462.20
  4. Step 4: Simplify right side
    1,284.18x = 890,086.27
  5. Step 5: Solve for x
    x = 890,086.27/1,284.18
  6. Step 6: Final answer
    x = 693.12

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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.