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Finding the Fourth Proportional to 1,086.10, 1,498.26 and 790.90

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Solution

The fourth proportional to 1,086.10, 1,498.26 and 790.90 is: 1,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.10 : 1,498.26 = 790.90 : x
  2. Step 2: Convert to fraction form
    1,086.10/1,498.26 = 790.90/x
  3. Step 3: Cross multiply
    1,086.10x = 1,498.26 × 790.90
  4. Step 4: Simplify right side
    1,086.10x = 1,184,973.83
  5. Step 5: Solve for x
    x = 1,184,973.83/1,086.10
  6. Step 6: Final answer
    x = 1,091.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.