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Finding the Fourth Proportional to 1,117.76, 1,677.12 and 541.12

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Solution

The fourth proportional to 1,117.76, 1,677.12 and 541.12 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.76 : 1,677.12 = 541.12 : x
  2. Step 2: Convert to fraction form
    1,117.76/1,677.12 = 541.12/x
  3. Step 3: Cross multiply
    1,117.76x = 1,677.12 × 541.12
  4. Step 4: Simplify right side
    1,117.76x = 907,523.17
  5. Step 5: Solve for x
    x = 907,523.17/1,117.76
  6. Step 6: Final answer
    x = 811.91

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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.