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Finding the Fourth Proportional to 1,509.53, 2,264.31 and 585.14

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Solution

The fourth proportional to 1,509.53, 2,264.31 and 585.14 is: 877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.53 : 2,264.31 = 585.14 : x
  2. Step 2: Convert to fraction form
    1,509.53/2,264.31 = 585.14/x
  3. Step 3: Cross multiply
    1,509.53x = 2,264.31 × 585.14
  4. Step 4: Simplify right side
    1,509.53x = 1,324,927.03
  5. Step 5: Solve for x
    x = 1,324,927.03/1,509.53
  6. Step 6: Final answer
    x = 877.71

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Why These Related Problems?

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