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Finding the Fourth Proportional to 750.58, 1,125.80 and 475.84

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Solution

The fourth proportional to 750.58, 1,125.80 and 475.84 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.58 : 1,125.80 = 475.84 : x
  2. Step 2: Convert to fraction form
    750.58/1,125.80 = 475.84/x
  3. Step 3: Cross multiply
    750.58x = 1,125.80 × 475.84
  4. Step 4: Simplify right side
    750.58x = 535,700.67
  5. Step 5: Solve for x
    x = 535,700.67/750.58
  6. Step 6: Final answer
    x = 713.72

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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.