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Finding the Fourth Proportional to 1,113.29, 1,670.05 and 382.93

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Solution

The fourth proportional to 1,113.29, 1,670.05 and 382.93 is: 574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.29 : 1,670.05 = 382.93 : x
  2. Step 2: Convert to fraction form
    1,113.29/1,670.05 = 382.93/x
  3. Step 3: Cross multiply
    1,113.29x = 1,670.05 × 382.93
  4. Step 4: Simplify right side
    1,113.29x = 639,508.55
  5. Step 5: Solve for x
    x = 639,508.55/1,113.29
  6. Step 6: Final answer
    x = 574.43

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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.