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Finding the Fourth Proportional to 1,014.23, 1,514.01 and 891.21

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Solution

The fourth proportional to 1,014.23, 1,514.01 and 891.21 is: 1,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.23 : 1,514.01 = 891.21 : x
  2. Step 2: Convert to fraction form
    1,014.23/1,514.01 = 891.21/x
  3. Step 3: Cross multiply
    1,014.23x = 1,514.01 × 891.21
  4. Step 4: Simplify right side
    1,014.23x = 1,349,304.64
  5. Step 5: Solve for x
    x = 1,349,304.64/1,014.23
  6. Step 6: Final answer
    x = 1,330.37

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1.5x scale

Why These Related Problems?

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