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Finding the Fourth Proportional to 760.13, 1,140.10 and 247.13

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Solution

The fourth proportional to 760.13, 1,140.10 and 247.13 is: 370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.13 : 1,140.10 = 247.13 : x
  2. Step 2: Convert to fraction form
    760.13/1,140.10 = 247.13/x
  3. Step 3: Cross multiply
    760.13x = 1,140.10 × 247.13
  4. Step 4: Simplify right side
    760.13x = 281,752.91
  5. Step 5: Solve for x
    x = 281,752.91/760.13
  6. Step 6: Final answer
    x = 370.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.