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Finding the Fourth Proportional to 1,283.87, 1,924.56 and 706.34

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Solution

The fourth proportional to 1,283.87, 1,924.56 and 706.34 is: 1,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.87 : 1,924.56 = 706.34 : x
  2. Step 2: Convert to fraction form
    1,283.87/1,924.56 = 706.34/x
  3. Step 3: Cross multiply
    1,283.87x = 1,924.56 × 706.34
  4. Step 4: Simplify right side
    1,283.87x = 1,359,384.09
  5. Step 5: Solve for x
    x = 1,359,384.09/1,283.87
  6. Step 6: Final answer
    x = 1,058.82

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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.