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Finding the Fourth Proportional to 1,085.13, 1,497.08 and 712.26

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Solution

The fourth proportional to 1,085.13, 1,497.08 and 712.26 is: 982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.13 : 1,497.08 = 712.26 : x
  2. Step 2: Convert to fraction form
    1,085.13/1,497.08 = 712.26/x
  3. Step 3: Cross multiply
    1,085.13x = 1,497.08 × 712.26
  4. Step 4: Simplify right side
    1,085.13x = 1,066,311.98
  5. Step 5: Solve for x
    x = 1,066,311.98/1,085.13
  6. Step 6: Final answer
    x = 982.66

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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.