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Finding the Fourth Proportional to 870.01, 1,201.02 and 538.63

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Solution

The fourth proportional to 870.01, 1,201.02 and 538.63 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.01 : 1,201.02 = 538.63 : x
  2. Step 2: Convert to fraction form
    870.01/1,201.02 = 538.63/x
  3. Step 3: Cross multiply
    870.01x = 1,201.02 × 538.63
  4. Step 4: Simplify right side
    870.01x = 646,899.40
  5. Step 5: Solve for x
    x = 646,899.40/870.01
  6. Step 6: Final answer
    x = 743.56

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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.