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Finding the Fourth Proportional to 1,509.19, 2,262.97 and 468.75

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Solution

The fourth proportional to 1,509.19, 2,262.97 and 468.75 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.19 : 2,262.97 = 468.75 : x
  2. Step 2: Convert to fraction form
    1,509.19/2,262.97 = 468.75/x
  3. Step 3: Cross multiply
    1,509.19x = 2,262.97 × 468.75
  4. Step 4: Simplify right side
    1,509.19x = 1,060,767.19
  5. Step 5: Solve for x
    x = 1,060,767.19/1,509.19
  6. Step 6: Final answer
    x = 702.87

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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.