Home / 1,001.14-1,381.70-559.07

Finding the Fourth Proportional to 1,001.14, 1,381.70 and 559.07

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Solution

The fourth proportional to 1,001.14, 1,381.70 and 559.07 is: 771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.14 : 1,381.70 = 559.07 : x
  2. Step 2: Convert to fraction form
    1,001.14/1,381.70 = 559.07/x
  3. Step 3: Cross multiply
    1,001.14x = 1,381.70 × 559.07
  4. Step 4: Simplify right side
    1,001.14x = 772,460.11
  5. Step 5: Solve for x
    x = 772,460.11/1,001.14
  6. Step 6: Final answer
    x = 771.58

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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.