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Finding the Fourth Proportional to 1,113.67, 1,670.34 and 292.00

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Solution

The fourth proportional to 1,113.67, 1,670.34 and 292.00 is: 437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.67 : 1,670.34 = 292.00 : x
  2. Step 2: Convert to fraction form
    1,113.67/1,670.34 = 292.00/x
  3. Step 3: Cross multiply
    1,113.67x = 1,670.34 × 292.00
  4. Step 4: Simplify right side
    1,113.67x = 487,735.10
  5. Step 5: Solve for x
    x = 487,735.10/1,113.67
  6. Step 6: Final answer
    x = 437.95

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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.