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Finding the Fourth Proportional to 1,390.70, 1,919.16 and 801.23

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Solution

The fourth proportional to 1,390.70, 1,919.16 and 801.23 is: 1,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.70 : 1,919.16 = 801.23 : x
  2. Step 2: Convert to fraction form
    1,390.70/1,919.16 = 801.23/x
  3. Step 3: Cross multiply
    1,390.70x = 1,919.16 × 801.23
  4. Step 4: Simplify right side
    1,390.70x = 1,537,678.97
  5. Step 5: Solve for x
    x = 1,537,678.97/1,390.70
  6. Step 6: Final answer
    x = 1,105.69

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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.