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Finding the Fourth Proportional to 1,014.04, 1,521.05 and 580.89

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Solution

The fourth proportional to 1,014.04, 1,521.05 and 580.89 is: 871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.04 : 1,521.05 = 580.89 : x
  2. Step 2: Convert to fraction form
    1,014.04/1,521.05 = 580.89/x
  3. Step 3: Cross multiply
    1,014.04x = 1,521.05 × 580.89
  4. Step 4: Simplify right side
    1,014.04x = 883,552.22
  5. Step 5: Solve for x
    x = 883,552.22/1,014.04
  6. Step 6: Final answer
    x = 871.32

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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.