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Finding the Fourth Proportional to 1,263.66, 1,742.76 and 821.40

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Solution

The fourth proportional to 1,263.66, 1,742.76 and 821.40 is: 1,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.66 : 1,742.76 = 821.40 : x
  2. Step 2: Convert to fraction form
    1,263.66/1,742.76 = 821.40/x
  3. Step 3: Cross multiply
    1,263.66x = 1,742.76 × 821.40
  4. Step 4: Simplify right side
    1,263.66x = 1,431,503.06
  5. Step 5: Solve for x
    x = 1,431,503.06/1,263.66
  6. Step 6: Final answer
    x = 1,132.82

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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.