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Finding the Fourth Proportional to 1,079.36, 1,619.75 and 592.75

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Solution

The fourth proportional to 1,079.36, 1,619.75 and 592.75 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.36 : 1,619.75 = 592.75 : x
  2. Step 2: Convert to fraction form
    1,079.36/1,619.75 = 592.75/x
  3. Step 3: Cross multiply
    1,079.36x = 1,619.75 × 592.75
  4. Step 4: Simplify right side
    1,079.36x = 960,104.24
  5. Step 5: Solve for x
    x = 960,104.24/1,079.36
  6. Step 6: Final answer
    x = 889.52

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1.5x scale

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.