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Finding the Fourth Proportional to 1,158.68, 1,737.64 and 389

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Solution

The fourth proportional to 1,158.68, 1,737.64 and 389 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.68 : 1,737.64 = 389 : x
  2. Step 2: Convert to fraction form
    1,158.68/1,737.64 = 389/x
  3. Step 3: Cross multiply
    1,158.68x = 1,737.64 × 389
  4. Step 4: Simplify right side
    1,158.68x = 675,941.96
  5. Step 5: Solve for x
    x = 675,941.96/1,158.68
  6. Step 6: Final answer
    x = 583.37

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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.