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Finding the Fourth Proportional to 1,077.23, 1,486.34 and 704.75

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Solution

The fourth proportional to 1,077.23, 1,486.34 and 704.75 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.23 : 1,486.34 = 704.75 : x
  2. Step 2: Convert to fraction form
    1,077.23/1,486.34 = 704.75/x
  3. Step 3: Cross multiply
    1,077.23x = 1,486.34 × 704.75
  4. Step 4: Simplify right side
    1,077.23x = 1,047,498.12
  5. Step 5: Solve for x
    x = 1,047,498.12/1,077.23
  6. Step 6: Final answer
    x = 972.40

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1.5x scale

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.