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Finding the Fourth Proportional to 1,409.96, 2,115.08 and 588.12

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Solution

The fourth proportional to 1,409.96, 2,115.08 and 588.12 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.96 : 2,115.08 = 588.12 : x
  2. Step 2: Convert to fraction form
    1,409.96/2,115.08 = 588.12/x
  3. Step 3: Cross multiply
    1,409.96x = 2,115.08 × 588.12
  4. Step 4: Simplify right side
    1,409.96x = 1,243,920.85
  5. Step 5: Solve for x
    x = 1,243,920.85/1,409.96
  6. Step 6: Final answer
    x = 882.24

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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.