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Finding the Fourth Proportional to 1,158.53, 1,737.79 and 465.38

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Solution

The fourth proportional to 1,158.53, 1,737.79 and 465.38 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.53 : 1,737.79 = 465.38 : x
  2. Step 2: Convert to fraction form
    1,158.53/1,737.79 = 465.38/x
  3. Step 3: Cross multiply
    1,158.53x = 1,737.79 × 465.38
  4. Step 4: Simplify right side
    1,158.53x = 808,732.71
  5. Step 5: Solve for x
    x = 808,732.71/1,158.53
  6. Step 6: Final answer
    x = 698.07

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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.