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Finding the Fourth Proportional to 1,114.77, 1,671.47 and 567.34

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Solution

The fourth proportional to 1,114.77, 1,671.47 and 567.34 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.77 : 1,671.47 = 567.34 : x
  2. Step 2: Convert to fraction form
    1,114.77/1,671.47 = 567.34/x
  3. Step 3: Cross multiply
    1,114.77x = 1,671.47 × 567.34
  4. Step 4: Simplify right side
    1,114.77x = 948,291.79
  5. Step 5: Solve for x
    x = 948,291.79/1,114.77
  6. Step 6: Final answer
    x = 850.66

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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.