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Finding the Fourth Proportional to 755.74, 1,136.16 and 595.36

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Solution

The fourth proportional to 755.74, 1,136.16 and 595.36 is: 895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.74 : 1,136.16 = 595.36 : x
  2. Step 2: Convert to fraction form
    755.74/1,136.16 = 595.36/x
  3. Step 3: Cross multiply
    755.74x = 1,136.16 × 595.36
  4. Step 4: Simplify right side
    755.74x = 676,424.22
  5. Step 5: Solve for x
    x = 676,424.22/755.74
  6. Step 6: Final answer
    x = 895.05

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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.