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Finding the Fourth Proportional to 1,166.24, 1,748.72 and 558.24

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Solution

The fourth proportional to 1,166.24, 1,748.72 and 558.24 is: 837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,748.72 = 558.24 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,748.72 = 558.24/x
  3. Step 3: Cross multiply
    1,166.24x = 1,748.72 × 558.24
  4. Step 4: Simplify right side
    1,166.24x = 976,205.45
  5. Step 5: Solve for x
    x = 976,205.45/1,166.24
  6. Step 6: Final answer
    x = 837.05

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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.