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Finding the Fourth Proportional to 1,307.97, 1,803.81 and 866.34

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Solution

The fourth proportional to 1,307.97, 1,803.81 and 866.34 is: 1,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.97 : 1,803.81 = 866.34 : x
  2. Step 2: Convert to fraction form
    1,307.97/1,803.81 = 866.34/x
  3. Step 3: Cross multiply
    1,307.97x = 1,803.81 × 866.34
  4. Step 4: Simplify right side
    1,307.97x = 1,562,712.76
  5. Step 5: Solve for x
    x = 1,562,712.76/1,307.97
  6. Step 6: Final answer
    x = 1,194.76

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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.