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Finding the Fourth Proportional to 750.12, 1,125.15 and 577.86

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Solution

The fourth proportional to 750.12, 1,125.15 and 577.86 is: 866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.12 : 1,125.15 = 577.86 : x
  2. Step 2: Convert to fraction form
    750.12/1,125.15 = 577.86/x
  3. Step 3: Cross multiply
    750.12x = 1,125.15 × 577.86
  4. Step 4: Simplify right side
    750.12x = 650,179.18
  5. Step 5: Solve for x
    x = 650,179.18/750.12
  6. Step 6: Final answer
    x = 866.77

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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.