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Finding the Fourth Proportional to 760.74, 1,049.82 and 429.15

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Solution

The fourth proportional to 760.74, 1,049.82 and 429.15 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.74 : 1,049.82 = 429.15 : x
  2. Step 2: Convert to fraction form
    760.74/1,049.82 = 429.15/x
  3. Step 3: Cross multiply
    760.74x = 1,049.82 × 429.15
  4. Step 4: Simplify right side
    760.74x = 450,530.25
  5. Step 5: Solve for x
    x = 450,530.25/760.74
  6. Step 6: Final answer
    x = 592.23

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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.