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Finding the Fourth Proportional to 760.48, 1,142.78 and 414.07

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Solution

The fourth proportional to 760.48, 1,142.78 and 414.07 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.48 : 1,142.78 = 414.07 : x
  2. Step 2: Convert to fraction form
    760.48/1,142.78 = 414.07/x
  3. Step 3: Cross multiply
    760.48x = 1,142.78 × 414.07
  4. Step 4: Simplify right side
    760.48x = 473,190.91
  5. Step 5: Solve for x
    x = 473,190.91/760.48
  6. Step 6: Final answer
    x = 622.23

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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.