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Finding the Fourth Proportional to 794.68, 1,096.32 and 562.12

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Solution

The fourth proportional to 794.68, 1,096.32 and 562.12 is: 775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.68 : 1,096.32 = 562.12 : x
  2. Step 2: Convert to fraction form
    794.68/1,096.32 = 562.12/x
  3. Step 3: Cross multiply
    794.68x = 1,096.32 × 562.12
  4. Step 4: Simplify right side
    794.68x = 616,263.40
  5. Step 5: Solve for x
    x = 616,263.40/794.68
  6. Step 6: Final answer
    x = 775.49

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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.