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Finding the Fourth Proportional to 798.71, 1,102.19 and 562.76

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Solution

The fourth proportional to 798.71, 1,102.19 and 562.76 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.71 : 1,102.19 = 562.76 : x
  2. Step 2: Convert to fraction form
    798.71/1,102.19 = 562.76/x
  3. Step 3: Cross multiply
    798.71x = 1,102.19 × 562.76
  4. Step 4: Simplify right side
    798.71x = 620,260.12
  5. Step 5: Solve for x
    x = 620,260.12/798.71
  6. Step 6: Final answer
    x = 776.57

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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.