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Finding the Fourth Proportional to 1,257.22, 1,883.90 and 526.40

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Solution

The fourth proportional to 1,257.22, 1,883.90 and 526.40 is: 788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.22 : 1,883.90 = 526.40 : x
  2. Step 2: Convert to fraction form
    1,257.22/1,883.90 = 526.40/x
  3. Step 3: Cross multiply
    1,257.22x = 1,883.90 × 526.40
  4. Step 4: Simplify right side
    1,257.22x = 991,675.54
  5. Step 5: Solve for x
    x = 991,675.54/1,257.22
  6. Step 6: Final answer
    x = 788.79

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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.