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Finding the Fourth Proportional to 1,114.06, 1,537.03 and 641.95

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Solution

The fourth proportional to 1,114.06, 1,537.03 and 641.95 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,537.03 = 641.95 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,537.03 = 641.95/x
  3. Step 3: Cross multiply
    1,114.06x = 1,537.03 × 641.95
  4. Step 4: Simplify right side
    1,114.06x = 986,690.64
  5. Step 5: Solve for x
    x = 986,690.64/1,114.06
  6. Step 6: Final answer
    x = 885.67

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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.