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Finding the Fourth Proportional to 870.58, 1,200.36 and 618.76

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Solution

The fourth proportional to 870.58, 1,200.36 and 618.76 is: 853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.58 : 1,200.36 = 618.76 : x
  2. Step 2: Convert to fraction form
    870.58/1,200.36 = 618.76/x
  3. Step 3: Cross multiply
    870.58x = 1,200.36 × 618.76
  4. Step 4: Simplify right side
    870.58x = 742,734.75
  5. Step 5: Solve for x
    x = 742,734.75/870.58
  6. Step 6: Final answer
    x = 853.15

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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.