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Finding the Fourth Proportional to 1,113.68, 1,670.54 and 344.18

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Solution

The fourth proportional to 1,113.68, 1,670.54 and 344.18 is: 516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.68 : 1,670.54 = 344.18 : x
  2. Step 2: Convert to fraction form
    1,113.68/1,670.54 = 344.18/x
  3. Step 3: Cross multiply
    1,113.68x = 1,670.54 × 344.18
  4. Step 4: Simplify right side
    1,113.68x = 574,966.46
  5. Step 5: Solve for x
    x = 574,966.46/1,113.68
  6. Step 6: Final answer
    x = 516.28

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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.