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Finding the Fourth Proportional to 870.76, 1,203.21 and 685.67

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Solution

The fourth proportional to 870.76, 1,203.21 and 685.67 is: 947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.76 : 1,203.21 = 685.67 : x
  2. Step 2: Convert to fraction form
    870.76/1,203.21 = 685.67/x
  3. Step 3: Cross multiply
    870.76x = 1,203.21 × 685.67
  4. Step 4: Simplify right side
    870.76x = 825,001.57
  5. Step 5: Solve for x
    x = 825,001.57/870.76
  6. Step 6: Final answer
    x = 947.46

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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.