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Finding the Fourth Proportional to 1,059, 1,588.92 and 409.68

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Solution

The fourth proportional to 1,059, 1,588.92 and 409.68 is: 614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059 : 1,588.92 = 409.68 : x
  2. Step 2: Convert to fraction form
    1,059/1,588.92 = 409.68/x
  3. Step 3: Cross multiply
    1,059x = 1,588.92 × 409.68
  4. Step 4: Simplify right side
    1,059x = 650,948.75
  5. Step 5: Solve for x
    x = 650,948.75/1,059
  6. Step 6: Final answer
    x = 614.68

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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.