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Finding the Fourth Proportional to 1,154.66, 1,590.39 and 888.59

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Solution

The fourth proportional to 1,154.66, 1,590.39 and 888.59 is: 1,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.66 : 1,590.39 = 888.59 : x
  2. Step 2: Convert to fraction form
    1,154.66/1,590.39 = 888.59/x
  3. Step 3: Cross multiply
    1,154.66x = 1,590.39 × 888.59
  4. Step 4: Simplify right side
    1,154.66x = 1,413,204.65
  5. Step 5: Solve for x
    x = 1,413,204.65/1,154.66
  6. Step 6: Final answer
    x = 1,223.91

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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.