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Finding the Fourth Proportional to 1,085.22, 1,497.15 and 712.62

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Solution

The fourth proportional to 1,085.22, 1,497.15 and 712.62 is: 983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.22 : 1,497.15 = 712.62 : x
  2. Step 2: Convert to fraction form
    1,085.22/1,497.15 = 712.62/x
  3. Step 3: Cross multiply
    1,085.22x = 1,497.15 × 712.62
  4. Step 4: Simplify right side
    1,085.22x = 1,066,899.03
  5. Step 5: Solve for x
    x = 1,066,899.03/1,085.22
  6. Step 6: Final answer
    x = 983.12

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Why These Related Problems?

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