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Finding the Fourth Proportional to 1,065.49, 1,597.78 and 371.95

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Solution

The fourth proportional to 1,065.49, 1,597.78 and 371.95 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.49 : 1,597.78 = 371.95 : x
  2. Step 2: Convert to fraction form
    1,065.49/1,597.78 = 371.95/x
  3. Step 3: Cross multiply
    1,065.49x = 1,597.78 × 371.95
  4. Step 4: Simplify right side
    1,065.49x = 594,293.34
  5. Step 5: Solve for x
    x = 594,293.34/1,065.49
  6. Step 6: Final answer
    x = 557.77

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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.