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Finding the Fourth Proportional to 751.18, 1,125.69 and 462.46

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Solution

The fourth proportional to 751.18, 1,125.69 and 462.46 is: 693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.18 : 1,125.69 = 462.46 : x
  2. Step 2: Convert to fraction form
    751.18/1,125.69 = 462.46/x
  3. Step 3: Cross multiply
    751.18x = 1,125.69 × 462.46
  4. Step 4: Simplify right side
    751.18x = 520,586.60
  5. Step 5: Solve for x
    x = 520,586.60/751.18
  6. Step 6: Final answer
    x = 693.03

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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.