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Finding the Fourth Proportional to 870.08, 1,304.96 and 846.96

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Solution

The fourth proportional to 870.08, 1,304.96 and 846.96 is: 1,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.08 : 1,304.96 = 846.96 : x
  2. Step 2: Convert to fraction form
    870.08/1,304.96 = 846.96/x
  3. Step 3: Cross multiply
    870.08x = 1,304.96 × 846.96
  4. Step 4: Simplify right side
    870.08x = 1,105,248.92
  5. Step 5: Solve for x
    x = 1,105,248.92/870.08
  6. Step 6: Final answer
    x = 1,270.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.