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Finding the Fourth Proportional to 1,117.72, 1,676.77 and 562.69

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Solution

The fourth proportional to 1,117.72, 1,676.77 and 562.69 is: 844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.72 : 1,676.77 = 562.69 : x
  2. Step 2: Convert to fraction form
    1,117.72/1,676.77 = 562.69/x
  3. Step 3: Cross multiply
    1,117.72x = 1,676.77 × 562.69
  4. Step 4: Simplify right side
    1,117.72x = 943,502.40
  5. Step 5: Solve for x
    x = 943,502.40/1,117.72
  6. Step 6: Final answer
    x = 844.13

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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.