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Finding the Fourth Proportional to 1,201.84, 1,658.00 and 848.27

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Solution

The fourth proportional to 1,201.84, 1,658.00 and 848.27 is: 1,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.84 : 1,658.00 = 848.27 : x
  2. Step 2: Convert to fraction form
    1,201.84/1,658.00 = 848.27/x
  3. Step 3: Cross multiply
    1,201.84x = 1,658.00 × 848.27
  4. Step 4: Simplify right side
    1,201.84x = 1,406,437.93
  5. Step 5: Solve for x
    x = 1,406,437.93/1,201.84
  6. Step 6: Final answer
    x = 1,170.24

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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.