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Finding the Fourth Proportional to 1,167.99, 1,748.33 and 873.75

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Solution

The fourth proportional to 1,167.99, 1,748.33 and 873.75 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.99 : 1,748.33 = 873.75 : x
  2. Step 2: Convert to fraction form
    1,167.99/1,748.33 = 873.75/x
  3. Step 3: Cross multiply
    1,167.99x = 1,748.33 × 873.75
  4. Step 4: Simplify right side
    1,167.99x = 1,527,603.34
  5. Step 5: Solve for x
    x = 1,527,603.34/1,167.99
  6. Step 6: Final answer
    x = 1,307.89

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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.