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Finding the Fourth Proportional to 870.75, 1,201.04 and 538.60

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Solution

The fourth proportional to 870.75, 1,201.04 and 538.60 is: 742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.75 : 1,201.04 = 538.60 : x
  2. Step 2: Convert to fraction form
    870.75/1,201.04 = 538.60/x
  3. Step 3: Cross multiply
    870.75x = 1,201.04 × 538.60
  4. Step 4: Simplify right side
    870.75x = 646,880.14
  5. Step 5: Solve for x
    x = 646,880.14/870.75
  6. Step 6: Final answer
    x = 742.90

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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.