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Finding the Fourth Proportional to 611.25, 916.75 and 580.47

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Solution

The fourth proportional to 611.25, 916.75 and 580.47 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 916.75 = 580.47 : x
  2. Step 2: Convert to fraction form
    611.25/916.75 = 580.47/x
  3. Step 3: Cross multiply
    611.25x = 916.75 × 580.47
  4. Step 4: Simplify right side
    611.25x = 532,145.87
  5. Step 5: Solve for x
    x = 532,145.87/611.25
  6. Step 6: Final answer
    x = 870.59

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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.