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Finding the Fourth Proportional to 1,292.52, 1,938.36 and 561.88

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Solution

The fourth proportional to 1,292.52, 1,938.36 and 561.88 is: 842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.52 : 1,938.36 = 561.88 : x
  2. Step 2: Convert to fraction form
    1,292.52/1,938.36 = 561.88/x
  3. Step 3: Cross multiply
    1,292.52x = 1,938.36 × 561.88
  4. Step 4: Simplify right side
    1,292.52x = 1,089,125.72
  5. Step 5: Solve for x
    x = 1,089,125.72/1,292.52
  6. Step 6: Final answer
    x = 842.64

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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.