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Finding the Fourth Proportional to 723.95, 1,085.97 and 291.05

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Solution

The fourth proportional to 723.95, 1,085.97 and 291.05 is: 436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.95 : 1,085.97 = 291.05 : x
  2. Step 2: Convert to fraction form
    723.95/1,085.97 = 291.05/x
  3. Step 3: Cross multiply
    723.95x = 1,085.97 × 291.05
  4. Step 4: Simplify right side
    723.95x = 316,071.57
  5. Step 5: Solve for x
    x = 316,071.57/723.95
  6. Step 6: Final answer
    x = 436.59

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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.