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Finding the Fourth Proportional to 1,055.79, 1,584.34 and 718.43

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Solution

The fourth proportional to 1,055.79, 1,584.34 and 718.43 is: 1,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.79 : 1,584.34 = 718.43 : x
  2. Step 2: Convert to fraction form
    1,055.79/1,584.34 = 718.43/x
  3. Step 3: Cross multiply
    1,055.79x = 1,584.34 × 718.43
  4. Step 4: Simplify right side
    1,055.79x = 1,138,227.67
  5. Step 5: Solve for x
    x = 1,138,227.67/1,055.79
  6. Step 6: Final answer
    x = 1,078.08

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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.