Home / 1,065.24-1,470.01-593.14

Finding the Fourth Proportional to 1,065.24, 1,470.01 and 593.14

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Solution

The fourth proportional to 1,065.24, 1,470.01 and 593.14 is: 818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.24 : 1,470.01 = 593.14 : x
  2. Step 2: Convert to fraction form
    1,065.24/1,470.01 = 593.14/x
  3. Step 3: Cross multiply
    1,065.24x = 1,470.01 × 593.14
  4. Step 4: Simplify right side
    1,065.24x = 871,918.77
  5. Step 5: Solve for x
    x = 871,918.77/1,065.24
  6. Step 6: Final answer
    x = 818.52

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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.