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Finding the Fourth Proportional to 1,061.79, 1,593.08 and 412.57

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Solution

The fourth proportional to 1,061.79, 1,593.08 and 412.57 is: 619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.79 : 1,593.08 = 412.57 : x
  2. Step 2: Convert to fraction form
    1,061.79/1,593.08 = 412.57/x
  3. Step 3: Cross multiply
    1,061.79x = 1,593.08 × 412.57
  4. Step 4: Simplify right side
    1,061.79x = 657,257.02
  5. Step 5: Solve for x
    x = 657,257.02/1,061.79
  6. Step 6: Final answer
    x = 619.01

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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.