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Finding the Fourth Proportional to 1,113.65, 1,670.72 and 420.33

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Solution

The fourth proportional to 1,113.65, 1,670.72 and 420.33 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.65 : 1,670.72 = 420.33 : x
  2. Step 2: Convert to fraction form
    1,113.65/1,670.72 = 420.33/x
  3. Step 3: Cross multiply
    1,113.65x = 1,670.72 × 420.33
  4. Step 4: Simplify right side
    1,113.65x = 702,251.64
  5. Step 5: Solve for x
    x = 702,251.64/1,113.65
  6. Step 6: Final answer
    x = 630.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.