Home / 1,320.76-1,981.61-590.14

Finding the Fourth Proportional to 1,320.76, 1,981.61 and 590.14

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Solution

The fourth proportional to 1,320.76, 1,981.61 and 590.14 is: 885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.76 : 1,981.61 = 590.14 : x
  2. Step 2: Convert to fraction form
    1,320.76/1,981.61 = 590.14/x
  3. Step 3: Cross multiply
    1,320.76x = 1,981.61 × 590.14
  4. Step 4: Simplify right side
    1,320.76x = 1,169,421.24
  5. Step 5: Solve for x
    x = 1,169,421.24/1,320.76
  6. Step 6: Final answer
    x = 885.42

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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.