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Finding the Fourth Proportional to 1,508.64, 2,263.74 and 642.72

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Solution

The fourth proportional to 1,508.64, 2,263.74 and 642.72 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.64 : 2,263.74 = 642.72 : x
  2. Step 2: Convert to fraction form
    1,508.64/2,263.74 = 642.72/x
  3. Step 3: Cross multiply
    1,508.64x = 2,263.74 × 642.72
  4. Step 4: Simplify right side
    1,508.64x = 1,454,950.97
  5. Step 5: Solve for x
    x = 1,454,950.97/1,508.64
  6. Step 6: Final answer
    x = 964.41

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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.