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Finding the Fourth Proportional to 760.43, 1,049.40 and 465.86

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Solution

The fourth proportional to 760.43, 1,049.40 and 465.86 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.43 : 1,049.40 = 465.86 : x
  2. Step 2: Convert to fraction form
    760.43/1,049.40 = 465.86/x
  3. Step 3: Cross multiply
    760.43x = 1,049.40 × 465.86
  4. Step 4: Simplify right side
    760.43x = 488,868.24
  5. Step 5: Solve for x
    x = 488,868.24/760.43
  6. Step 6: Final answer
    x = 642.89

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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.