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Finding the Fourth Proportional to 870.46, 1,303.72 and 611.62

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Solution

The fourth proportional to 870.46, 1,303.72 and 611.62 is: 916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.46 : 1,303.72 = 611.62 : x
  2. Step 2: Convert to fraction form
    870.46/1,303.72 = 611.62/x
  3. Step 3: Cross multiply
    870.46x = 1,303.72 × 611.62
  4. Step 4: Simplify right side
    870.46x = 797,376.44
  5. Step 5: Solve for x
    x = 797,376.44/870.46
  6. Step 6: Final answer
    x = 916.04

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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.