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Finding the Fourth Proportional to 1,342.49, 2,013.35 and 464.76

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Solution

The fourth proportional to 1,342.49, 2,013.35 and 464.76 is: 697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.49 : 2,013.35 = 464.76 : x
  2. Step 2: Convert to fraction form
    1,342.49/2,013.35 = 464.76/x
  3. Step 3: Cross multiply
    1,342.49x = 2,013.35 × 464.76
  4. Step 4: Simplify right side
    1,342.49x = 935,724.55
  5. Step 5: Solve for x
    x = 935,724.55/1,342.49
  6. Step 6: Final answer
    x = 697.01

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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.