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Finding the Fourth Proportional to 1,071.32, 1,604.71 and 549.73

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Solution

The fourth proportional to 1,071.32, 1,604.71 and 549.73 is: 823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.32 : 1,604.71 = 549.73 : x
  2. Step 2: Convert to fraction form
    1,071.32/1,604.71 = 549.73/x
  3. Step 3: Cross multiply
    1,071.32x = 1,604.71 × 549.73
  4. Step 4: Simplify right side
    1,071.32x = 882,159.92
  5. Step 5: Solve for x
    x = 882,159.92/1,071.32
  6. Step 6: Final answer
    x = 823.44

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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.