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Finding the Fourth Proportional to 750.72, 1,124.60 and 587.64

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Solution

The fourth proportional to 750.72, 1,124.60 and 587.64 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.72 : 1,124.60 = 587.64 : x
  2. Step 2: Convert to fraction form
    750.72/1,124.60 = 587.64/x
  3. Step 3: Cross multiply
    750.72x = 1,124.60 × 587.64
  4. Step 4: Simplify right side
    750.72x = 660,859.94
  5. Step 5: Solve for x
    x = 660,859.94/750.72
  6. Step 6: Final answer
    x = 880.30

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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.