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Finding the Fourth Proportional to 1,166.58, 1,748.72 and 836.74

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Solution

The fourth proportional to 1,166.58, 1,748.72 and 836.74 is: 1,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.58 : 1,748.72 = 836.74 : x
  2. Step 2: Convert to fraction form
    1,166.58/1,748.72 = 836.74/x
  3. Step 3: Cross multiply
    1,166.58x = 1,748.72 × 836.74
  4. Step 4: Simplify right side
    1,166.58x = 1,463,223.97
  5. Step 5: Solve for x
    x = 1,463,223.97/1,166.58
  6. Step 6: Final answer
    x = 1,254.29

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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.