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Finding the Fourth Proportional to 1,437.84, 1,984.41 and 848.61

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Solution

The fourth proportional to 1,437.84, 1,984.41 and 848.61 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.84 : 1,984.41 = 848.61 : x
  2. Step 2: Convert to fraction form
    1,437.84/1,984.41 = 848.61/x
  3. Step 3: Cross multiply
    1,437.84x = 1,984.41 × 848.61
  4. Step 4: Simplify right side
    1,437.84x = 1,683,990.17
  5. Step 5: Solve for x
    x = 1,683,990.17/1,437.84
  6. Step 6: Final answer
    x = 1,171.19

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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.