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Finding the Fourth Proportional to 1,392.53, 2,087.55 and 526.23

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Solution

The fourth proportional to 1,392.53, 2,087.55 and 526.23 is: 788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.53 : 2,087.55 = 526.23 : x
  2. Step 2: Convert to fraction form
    1,392.53/2,087.55 = 526.23/x
  3. Step 3: Cross multiply
    1,392.53x = 2,087.55 × 526.23
  4. Step 4: Simplify right side
    1,392.53x = 1,098,531.44
  5. Step 5: Solve for x
    x = 1,098,531.44/1,392.53
  6. Step 6: Final answer
    x = 788.88

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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.