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Finding the Fourth Proportional to 760.16, 1,138.49 and 500.08

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Solution

The fourth proportional to 760.16, 1,138.49 and 500.08 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,138.49 = 500.08 : x
  2. Step 2: Convert to fraction form
    760.16/1,138.49 = 500.08/x
  3. Step 3: Cross multiply
    760.16x = 1,138.49 × 500.08
  4. Step 4: Simplify right side
    760.16x = 569,334.48
  5. Step 5: Solve for x
    x = 569,334.48/760.16
  6. Step 6: Final answer
    x = 748.96

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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.