Home / 1,584.79-2,376.57-707.56

Finding the Fourth Proportional to 1,584.79, 2,376.57 and 707.56

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Solution

The fourth proportional to 1,584.79, 2,376.57 and 707.56 is: 1,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.79 : 2,376.57 = 707.56 : x
  2. Step 2: Convert to fraction form
    1,584.79/2,376.57 = 707.56/x
  3. Step 3: Cross multiply
    1,584.79x = 2,376.57 × 707.56
  4. Step 4: Simplify right side
    1,584.79x = 1,681,559.93
  5. Step 5: Solve for x
    x = 1,681,559.93/1,584.79
  6. Step 6: Final answer
    x = 1,061.06

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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.