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Finding the Fourth Proportional to 870.51, 1,200.06 and 538.77

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Solution

The fourth proportional to 870.51, 1,200.06 and 538.77 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.51 : 1,200.06 = 538.77 : x
  2. Step 2: Convert to fraction form
    870.51/1,200.06 = 538.77/x
  3. Step 3: Cross multiply
    870.51x = 1,200.06 × 538.77
  4. Step 4: Simplify right side
    870.51x = 646,556.33
  5. Step 5: Solve for x
    x = 646,556.33/870.51
  6. Step 6: Final answer
    x = 742.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.