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Finding the Fourth Proportional to 1,117.51, 1,542.50 and 823.62

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Solution

The fourth proportional to 1,117.51, 1,542.50 and 823.62 is: 1,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.51 : 1,542.50 = 823.62 : x
  2. Step 2: Convert to fraction form
    1,117.51/1,542.50 = 823.62/x
  3. Step 3: Cross multiply
    1,117.51x = 1,542.50 × 823.62
  4. Step 4: Simplify right side
    1,117.51x = 1,270,433.85
  5. Step 5: Solve for x
    x = 1,270,433.85/1,117.51
  6. Step 6: Final answer
    x = 1,136.84

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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.