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Finding the Fourth Proportional to 1,292.74, 1,938.08 and 561.80

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Solution

The fourth proportional to 1,292.74, 1,938.08 and 561.80 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.74 : 1,938.08 = 561.80 : x
  2. Step 2: Convert to fraction form
    1,292.74/1,938.08 = 561.80/x
  3. Step 3: Cross multiply
    1,292.74x = 1,938.08 × 561.80
  4. Step 4: Simplify right side
    1,292.74x = 1,088,813.34
  5. Step 5: Solve for x
    x = 1,088,813.34/1,292.74
  6. Step 6: Final answer
    x = 842.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.