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Finding the Fourth Proportional to 760.40, 1,049.31 and 465.69

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Solution

The fourth proportional to 760.40, 1,049.31 and 465.69 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.40 : 1,049.31 = 465.69 : x
  2. Step 2: Convert to fraction form
    760.40/1,049.31 = 465.69/x
  3. Step 3: Cross multiply
    760.40x = 1,049.31 × 465.69
  4. Step 4: Simplify right side
    760.40x = 488,653.17
  5. Step 5: Solve for x
    x = 488,653.17/760.40
  6. Step 6: Final answer
    x = 642.63

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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.