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Finding the Fourth Proportional to 1,085.68, 1,497.70 and 712.68

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Solution

The fourth proportional to 1,085.68, 1,497.70 and 712.68 is: 983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.68 : 1,497.70 = 712.68 : x
  2. Step 2: Convert to fraction form
    1,085.68/1,497.70 = 712.68/x
  3. Step 3: Cross multiply
    1,085.68x = 1,497.70 × 712.68
  4. Step 4: Simplify right side
    1,085.68x = 1,067,380.84
  5. Step 5: Solve for x
    x = 1,067,380.84/1,085.68
  6. Step 6: Final answer
    x = 983.14

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1.5x scale

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.