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Finding the Fourth Proportional to 1,415.84, 2,122.20 and 594.63

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Solution

The fourth proportional to 1,415.84, 2,122.20 and 594.63 is: 891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.84 : 2,122.20 = 594.63 : x
  2. Step 2: Convert to fraction form
    1,415.84/2,122.20 = 594.63/x
  3. Step 3: Cross multiply
    1,415.84x = 2,122.20 × 594.63
  4. Step 4: Simplify right side
    1,415.84x = 1,261,923.79
  5. Step 5: Solve for x
    x = 1,261,923.79/1,415.84
  6. Step 6: Final answer
    x = 891.29

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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.