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Finding the Fourth Proportional to 1,509.08, 2,262.90 and 642.92

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Solution

The fourth proportional to 1,509.08, 2,262.90 and 642.92 is: 964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.08 : 2,262.90 = 642.92 : x
  2. Step 2: Convert to fraction form
    1,509.08/2,262.90 = 642.92/x
  3. Step 3: Cross multiply
    1,509.08x = 2,262.90 × 642.92
  4. Step 4: Simplify right side
    1,509.08x = 1,454,863.67
  5. Step 5: Solve for x
    x = 1,454,863.67/1,509.08
  6. Step 6: Final answer
    x = 964.07

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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.