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Finding the Fourth Proportional to 760.50, 1,048.96 and 465.92

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Solution

The fourth proportional to 760.50, 1,048.96 and 465.92 is: 642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,048.96 = 465.92 : x
  2. Step 2: Convert to fraction form
    760.50/1,048.96 = 465.92/x
  3. Step 3: Cross multiply
    760.50x = 1,048.96 × 465.92
  4. Step 4: Simplify right side
    760.50x = 488,726.78
  5. Step 5: Solve for x
    x = 488,726.78/760.50
  6. Step 6: Final answer
    x = 642.64

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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.