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Finding the Fourth Proportional to 1,085.48, 1,497.97 and 588.12

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Solution

The fourth proportional to 1,085.48, 1,497.97 and 588.12 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.48 : 1,497.97 = 588.12 : x
  2. Step 2: Convert to fraction form
    1,085.48/1,497.97 = 588.12/x
  3. Step 3: Cross multiply
    1,085.48x = 1,497.97 × 588.12
  4. Step 4: Simplify right side
    1,085.48x = 880,986.12
  5. Step 5: Solve for x
    x = 880,986.12/1,085.48
  6. Step 6: Final answer
    x = 811.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.