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Finding the Fourth Proportional to 760.02, 1,142.16 and 451.92

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Solution

The fourth proportional to 760.02, 1,142.16 and 451.92 is: 679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.02 : 1,142.16 = 451.92 : x
  2. Step 2: Convert to fraction form
    760.02/1,142.16 = 451.92/x
  3. Step 3: Cross multiply
    760.02x = 1,142.16 × 451.92
  4. Step 4: Simplify right side
    760.02x = 516,164.95
  5. Step 5: Solve for x
    x = 516,164.95/760.02
  6. Step 6: Final answer
    x = 679.15

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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.