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Finding the Fourth Proportional to 800.53, 1,103.80 and 564.52

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Solution

The fourth proportional to 800.53, 1,103.80 and 564.52 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.53 : 1,103.80 = 564.52 : x
  2. Step 2: Convert to fraction form
    800.53/1,103.80 = 564.52/x
  3. Step 3: Cross multiply
    800.53x = 1,103.80 × 564.52
  4. Step 4: Simplify right side
    800.53x = 623,117.18
  5. Step 5: Solve for x
    x = 623,117.18/800.53
  6. Step 6: Final answer
    x = 778.38

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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.