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Finding the Fourth Proportional to 1,065.52, 1,596.39 and 740.26

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Solution

The fourth proportional to 1,065.52, 1,596.39 and 740.26 is: 1,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.52 : 1,596.39 = 740.26 : x
  2. Step 2: Convert to fraction form
    1,065.52/1,596.39 = 740.26/x
  3. Step 3: Cross multiply
    1,065.52x = 1,596.39 × 740.26
  4. Step 4: Simplify right side
    1,065.52x = 1,181,743.66
  5. Step 5: Solve for x
    x = 1,181,743.66/1,065.52
  6. Step 6: Final answer
    x = 1,109.08

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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.