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Finding the Fourth Proportional to 760.34, 1,140 and 614.27

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Solution

The fourth proportional to 760.34, 1,140 and 614.27 is: 920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,140 = 614.27 : x
  2. Step 2: Convert to fraction form
    760.34/1,140 = 614.27/x
  3. Step 3: Cross multiply
    760.34x = 1,140 × 614.27
  4. Step 4: Simplify right side
    760.34x = 700,267.80
  5. Step 5: Solve for x
    x = 700,267.80/760.34
  6. Step 6: Final answer
    x = 920.99

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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.