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Finding the Fourth Proportional to 1,166.90, 1,748.48 and 934.56

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Solution

The fourth proportional to 1,166.90, 1,748.48 and 934.56 is: 1,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.90 : 1,748.48 = 934.56 : x
  2. Step 2: Convert to fraction form
    1,166.90/1,748.48 = 934.56/x
  3. Step 3: Cross multiply
    1,166.90x = 1,748.48 × 934.56
  4. Step 4: Simplify right side
    1,166.90x = 1,634,054.80
  5. Step 5: Solve for x
    x = 1,634,054.80/1,166.90
  6. Step 6: Final answer
    x = 1,400.34

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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.