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Finding the Fourth Proportional to 1,059.16, 1,588.03 and 409.14

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Solution

The fourth proportional to 1,059.16, 1,588.03 and 409.14 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.16 : 1,588.03 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,059.16/1,588.03 = 409.14/x
  3. Step 3: Cross multiply
    1,059.16x = 1,588.03 × 409.14
  4. Step 4: Simplify right side
    1,059.16x = 649,718.65
  5. Step 5: Solve for x
    x = 649,718.65/1,059.16
  6. Step 6: Final answer
    x = 613.43

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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.