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Finding the Fourth Proportional to 1,585.01, 2,377.53 and 660.30

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Solution

The fourth proportional to 1,585.01, 2,377.53 and 660.30 is: 990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.01 : 2,377.53 = 660.30 : x
  2. Step 2: Convert to fraction form
    1,585.01/2,377.53 = 660.30/x
  3. Step 3: Cross multiply
    1,585.01x = 2,377.53 × 660.30
  4. Step 4: Simplify right side
    1,585.01x = 1,569,883.06
  5. Step 5: Solve for x
    x = 1,569,883.06/1,585.01
  6. Step 6: Final answer
    x = 990.46

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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.