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Finding the Fourth Proportional to 1,014, 1,514.10 and 830.94

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Solution

The fourth proportional to 1,014, 1,514.10 and 830.94 is: 1,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,514.10 = 830.94 : x
  2. Step 2: Convert to fraction form
    1,014/1,514.10 = 830.94/x
  3. Step 3: Cross multiply
    1,014x = 1,514.10 × 830.94
  4. Step 4: Simplify right side
    1,014x = 1,258,126.25
  5. Step 5: Solve for x
    x = 1,258,126.25/1,014
  6. Step 6: Final answer
    x = 1,240.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.