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Finding the Fourth Proportional to 1,354.23, 1,868.96 and 764.75

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Solution

The fourth proportional to 1,354.23, 1,868.96 and 764.75 is: 1,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.23 : 1,868.96 = 764.75 : x
  2. Step 2: Convert to fraction form
    1,354.23/1,868.96 = 764.75/x
  3. Step 3: Cross multiply
    1,354.23x = 1,868.96 × 764.75
  4. Step 4: Simplify right side
    1,354.23x = 1,429,293.74
  5. Step 5: Solve for x
    x = 1,429,293.74/1,354.23
  6. Step 6: Final answer
    x = 1,055.43

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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.