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Finding the Fourth Proportional to 1,509.42, 2,264.49 and 585.03

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Solution

The fourth proportional to 1,509.42, 2,264.49 and 585.03 is: 877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.42 : 2,264.49 = 585.03 : x
  2. Step 2: Convert to fraction form
    1,509.42/2,264.49 = 585.03/x
  3. Step 3: Cross multiply
    1,509.42x = 2,264.49 × 585.03
  4. Step 4: Simplify right side
    1,509.42x = 1,324,794.58
  5. Step 5: Solve for x
    x = 1,324,794.58/1,509.42
  6. Step 6: Final answer
    x = 877.68

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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.