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Finding the Fourth Proportional to 760.18, 1,049.06 and 465.61

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Solution

The fourth proportional to 760.18, 1,049.06 and 465.61 is: 642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.18 : 1,049.06 = 465.61 : x
  2. Step 2: Convert to fraction form
    760.18/1,049.06 = 465.61/x
  3. Step 3: Cross multiply
    760.18x = 1,049.06 × 465.61
  4. Step 4: Simplify right side
    760.18x = 488,452.83
  5. Step 5: Solve for x
    x = 488,452.83/760.18
  6. Step 6: Final answer
    x = 642.55

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Why These Related Problems?

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