Home / 1,119.16-1,677.48-470.08

Finding the Fourth Proportional to 1,119.16, 1,677.48 and 470.08

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Solution

The fourth proportional to 1,119.16, 1,677.48 and 470.08 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.16 : 1,677.48 = 470.08 : x
  2. Step 2: Convert to fraction form
    1,119.16/1,677.48 = 470.08/x
  3. Step 3: Cross multiply
    1,119.16x = 1,677.48 × 470.08
  4. Step 4: Simplify right side
    1,119.16x = 788,549.80
  5. Step 5: Solve for x
    x = 788,549.80/1,119.16
  6. Step 6: Final answer
    x = 704.59

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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.