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Finding the Fourth Proportional to 1,117.37, 1,675.99 and 531.95

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Solution

The fourth proportional to 1,117.37, 1,675.99 and 531.95 is: 797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.37 : 1,675.99 = 531.95 : x
  2. Step 2: Convert to fraction form
    1,117.37/1,675.99 = 531.95/x
  3. Step 3: Cross multiply
    1,117.37x = 1,675.99 × 531.95
  4. Step 4: Simplify right side
    1,117.37x = 891,542.88
  5. Step 5: Solve for x
    x = 891,542.88/1,117.37
  6. Step 6: Final answer
    x = 797.89

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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.