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Finding the Fourth Proportional to 1,497.86, 2,247.74 and 632.18

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Solution

The fourth proportional to 1,497.86, 2,247.74 and 632.18 is: 948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.86 : 2,247.74 = 632.18 : x
  2. Step 2: Convert to fraction form
    1,497.86/2,247.74 = 632.18/x
  3. Step 3: Cross multiply
    1,497.86x = 2,247.74 × 632.18
  4. Step 4: Simplify right side
    1,497.86x = 1,420,961.87
  5. Step 5: Solve for x
    x = 1,420,961.87/1,497.86
  6. Step 6: Final answer
    x = 948.66

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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.