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Finding the Fourth Proportional to 1,393.65, 1,924.54 and 897.17

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Solution

The fourth proportional to 1,393.65, 1,924.54 and 897.17 is: 1,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.65 : 1,924.54 = 897.17 : x
  2. Step 2: Convert to fraction form
    1,393.65/1,924.54 = 897.17/x
  3. Step 3: Cross multiply
    1,393.65x = 1,924.54 × 897.17
  4. Step 4: Simplify right side
    1,393.65x = 1,726,627.69
  5. Step 5: Solve for x
    x = 1,726,627.69/1,393.65
  6. Step 6: Final answer
    x = 1,238.92

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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.