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Finding the Fourth Proportional to 760.31, 1,049.77 and 465.96

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Solution

The fourth proportional to 760.31, 1,049.77 and 465.96 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.31 : 1,049.77 = 465.96 : x
  2. Step 2: Convert to fraction form
    760.31/1,049.77 = 465.96/x
  3. Step 3: Cross multiply
    760.31x = 1,049.77 × 465.96
  4. Step 4: Simplify right side
    760.31x = 489,150.83
  5. Step 5: Solve for x
    x = 489,150.83/760.31
  6. Step 6: Final answer
    x = 643.36

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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.