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Finding the Fourth Proportional to 1,166.74, 1,747.54 and 754.63

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Solution

The fourth proportional to 1,166.74, 1,747.54 and 754.63 is: 1,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.74 : 1,747.54 = 754.63 : x
  2. Step 2: Convert to fraction form
    1,166.74/1,747.54 = 754.63/x
  3. Step 3: Cross multiply
    1,166.74x = 1,747.54 × 754.63
  4. Step 4: Simplify right side
    1,166.74x = 1,318,752.51
  5. Step 5: Solve for x
    x = 1,318,752.51/1,166.74
  6. Step 6: Final answer
    x = 1,130.29

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1.5x scale

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.