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Finding the Fourth Proportional to 740.35, 1,112 and 463.20

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Solution

The fourth proportional to 740.35, 1,112 and 463.20 is: 695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.35 : 1,112 = 463.20 : x
  2. Step 2: Convert to fraction form
    740.35/1,112 = 463.20/x
  3. Step 3: Cross multiply
    740.35x = 1,112 × 463.20
  4. Step 4: Simplify right side
    740.35x = 515,072.84
  5. Step 5: Solve for x
    x = 515,072.84/740.35
  6. Step 6: Final answer
    x = 695.72

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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.