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Finding the Fourth Proportional to 750.24, 1,125.60 and 408

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Solution

The fourth proportional to 750.24, 1,125.60 and 408 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.24 : 1,125.60 = 408 : x
  2. Step 2: Convert to fraction form
    750.24/1,125.60 = 408/x
  3. Step 3: Cross multiply
    750.24x = 1,125.60 × 408
  4. Step 4: Simplify right side
    750.24x = 459,244.80
  5. Step 5: Solve for x
    x = 459,244.80/750.24
  6. Step 6: Final answer
    x = 612.13

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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.