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Finding the Fourth Proportional to 1,114.33, 1,670.50 and 626.35

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Solution

The fourth proportional to 1,114.33, 1,670.50 and 626.35 is: 938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.33 : 1,670.50 = 626.35 : x
  2. Step 2: Convert to fraction form
    1,114.33/1,670.50 = 626.35/x
  3. Step 3: Cross multiply
    1,114.33x = 1,670.50 × 626.35
  4. Step 4: Simplify right side
    1,114.33x = 1,046,314.54
  5. Step 5: Solve for x
    x = 1,046,314.54/1,114.33
  6. Step 6: Final answer
    x = 938.96

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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.