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Finding the Fourth Proportional to 759.06, 1,045.76 and 562.23

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Solution

The fourth proportional to 759.06, 1,045.76 and 562.23 is: 774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.06 : 1,045.76 = 562.23 : x
  2. Step 2: Convert to fraction form
    759.06/1,045.76 = 562.23/x
  3. Step 3: Cross multiply
    759.06x = 1,045.76 × 562.23
  4. Step 4: Simplify right side
    759.06x = 587,954.83
  5. Step 5: Solve for x
    x = 587,954.83/759.06
  6. Step 6: Final answer
    x = 774.58

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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.