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Finding the Fourth Proportional to 1,036.38, 1,554.11 and 549.31

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Solution

The fourth proportional to 1,036.38, 1,554.11 and 549.31 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.38 : 1,554.11 = 549.31 : x
  2. Step 2: Convert to fraction form
    1,036.38/1,554.11 = 549.31/x
  3. Step 3: Cross multiply
    1,036.38x = 1,554.11 × 549.31
  4. Step 4: Simplify right side
    1,036.38x = 853,688.16
  5. Step 5: Solve for x
    x = 853,688.16/1,036.38
  6. Step 6: Final answer
    x = 823.72

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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.