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Finding the Fourth Proportional to 1,244.06, 1,866.50 and 594.84

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Solution

The fourth proportional to 1,244.06, 1,866.50 and 594.84 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.06 : 1,866.50 = 594.84 : x
  2. Step 2: Convert to fraction form
    1,244.06/1,866.50 = 594.84/x
  3. Step 3: Cross multiply
    1,244.06x = 1,866.50 × 594.84
  4. Step 4: Simplify right side
    1,244.06x = 1,110,272.89
  5. Step 5: Solve for x
    x = 1,110,272.89/1,244.06
  6. Step 6: Final answer
    x = 892.46

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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.