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Finding the Fourth Proportional to 1,681.32, 2,521.44 and 555.33

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Solution

The fourth proportional to 1,681.32, 2,521.44 and 555.33 is: 832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.32 : 2,521.44 = 555.33 : x
  2. Step 2: Convert to fraction form
    1,681.32/2,521.44 = 555.33/x
  3. Step 3: Cross multiply
    1,681.32x = 2,521.44 × 555.33
  4. Step 4: Simplify right side
    1,681.32x = 1,400,231.28
  5. Step 5: Solve for x
    x = 1,400,231.28/1,681.32
  6. Step 6: Final answer
    x = 832.82

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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.