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Finding the Fourth Proportional to 794.76, 1,097.38 and 712.04

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Solution

The fourth proportional to 794.76, 1,097.38 and 712.04 is: 983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.76 : 1,097.38 = 712.04 : x
  2. Step 2: Convert to fraction form
    794.76/1,097.38 = 712.04/x
  3. Step 3: Cross multiply
    794.76x = 1,097.38 × 712.04
  4. Step 4: Simplify right side
    794.76x = 781,378.46
  5. Step 5: Solve for x
    x = 781,378.46/794.76
  6. Step 6: Final answer
    x = 983.16

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Double scale
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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.