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Finding the Fourth Proportional to 712.44, 1,068.48 and 590.76

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Solution

The fourth proportional to 712.44, 1,068.48 and 590.76 is: 885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 1,068.48 = 590.76 : x
  2. Step 2: Convert to fraction form
    712.44/1,068.48 = 590.76/x
  3. Step 3: Cross multiply
    712.44x = 1,068.48 × 590.76
  4. Step 4: Simplify right side
    712.44x = 631,215.24
  5. Step 5: Solve for x
    x = 631,215.24/712.44
  6. Step 6: Final answer
    x = 885.99

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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.