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Finding the Fourth Proportional to 1,509.42, 2,264.16 and 584.88

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Solution

The fourth proportional to 1,509.42, 2,264.16 and 584.88 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.42 : 2,264.16 = 584.88 : x
  2. Step 2: Convert to fraction form
    1,509.42/2,264.16 = 584.88/x
  3. Step 3: Cross multiply
    1,509.42x = 2,264.16 × 584.88
  4. Step 4: Simplify right side
    1,509.42x = 1,324,261.90
  5. Step 5: Solve for x
    x = 1,324,261.90/1,509.42
  6. Step 6: Final answer
    x = 877.33

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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.