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Finding the Fourth Proportional to 870.63, 1,200.38 and 571.83

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Solution

The fourth proportional to 870.63, 1,200.38 and 571.83 is: 788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.63 : 1,200.38 = 571.83 : x
  2. Step 2: Convert to fraction form
    870.63/1,200.38 = 571.83/x
  3. Step 3: Cross multiply
    870.63x = 1,200.38 × 571.83
  4. Step 4: Simplify right side
    870.63x = 686,410.44
  5. Step 5: Solve for x
    x = 686,410.44/870.63
  6. Step 6: Final answer
    x = 788.41

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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.