Home / 1,158.12-1,598.34-808.20

Finding the Fourth Proportional to 1,158.12, 1,598.34 and 808.20

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Solution

The fourth proportional to 1,158.12, 1,598.34 and 808.20 is: 1,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.12 : 1,598.34 = 808.20 : x
  2. Step 2: Convert to fraction form
    1,158.12/1,598.34 = 808.20/x
  3. Step 3: Cross multiply
    1,158.12x = 1,598.34 × 808.20
  4. Step 4: Simplify right side
    1,158.12x = 1,291,778.39
  5. Step 5: Solve for x
    x = 1,291,778.39/1,158.12
  6. Step 6: Final answer
    x = 1,115.41

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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.