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Finding the Fourth Proportional to 1,267.02, 1,746.45 and 823.95

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Solution

The fourth proportional to 1,267.02, 1,746.45 and 823.95 is: 1,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.02 : 1,746.45 = 823.95 : x
  2. Step 2: Convert to fraction form
    1,267.02/1,746.45 = 823.95/x
  3. Step 3: Cross multiply
    1,267.02x = 1,746.45 × 823.95
  4. Step 4: Simplify right side
    1,267.02x = 1,438,987.48
  5. Step 5: Solve for x
    x = 1,438,987.48/1,267.02
  6. Step 6: Final answer
    x = 1,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.