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Finding the Fourth Proportional to 897.84, 1,237.50 and 851.22

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Solution

The fourth proportional to 897.84, 1,237.50 and 851.22 is: 1,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,237.50 = 851.22 : x
  2. Step 2: Convert to fraction form
    897.84/1,237.50 = 851.22/x
  3. Step 3: Cross multiply
    897.84x = 1,237.50 × 851.22
  4. Step 4: Simplify right side
    897.84x = 1,053,384.75
  5. Step 5: Solve for x
    x = 1,053,384.75/897.84
  6. Step 6: Final answer
    x = 1,173.24

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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.