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Finding the Fourth Proportional to 1,069.82, 1,476.38 and 597.70

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Solution

The fourth proportional to 1,069.82, 1,476.38 and 597.70 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.82 : 1,476.38 = 597.70 : x
  2. Step 2: Convert to fraction form
    1,069.82/1,476.38 = 597.70/x
  3. Step 3: Cross multiply
    1,069.82x = 1,476.38 × 597.70
  4. Step 4: Simplify right side
    1,069.82x = 882,436.46
  5. Step 5: Solve for x
    x = 882,436.46/1,069.82
  6. Step 6: Final answer
    x = 824.85

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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.