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Finding the Fourth Proportional to 760.13, 1,140.75 and 587.23

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Solution

The fourth proportional to 760.13, 1,140.75 and 587.23 is: 881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.13 : 1,140.75 = 587.23 : x
  2. Step 2: Convert to fraction form
    760.13/1,140.75 = 587.23/x
  3. Step 3: Cross multiply
    760.13x = 1,140.75 × 587.23
  4. Step 4: Simplify right side
    760.13x = 669,882.62
  5. Step 5: Solve for x
    x = 669,882.62/760.13
  6. Step 6: Final answer
    x = 881.27

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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.