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Finding the Fourth Proportional to 1,155.51, 1,594.44 and 658.17

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Solution

The fourth proportional to 1,155.51, 1,594.44 and 658.17 is: 908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.51 : 1,594.44 = 658.17 : x
  2. Step 2: Convert to fraction form
    1,155.51/1,594.44 = 658.17/x
  3. Step 3: Cross multiply
    1,155.51x = 1,594.44 × 658.17
  4. Step 4: Simplify right side
    1,155.51x = 1,049,412.57
  5. Step 5: Solve for x
    x = 1,049,412.57/1,155.51
  6. Step 6: Final answer
    x = 908.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.