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Finding the Fourth Proportional to 759.65, 1,137.04 and 597.65

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Solution

The fourth proportional to 759.65, 1,137.04 and 597.65 is: 894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,137.04 = 597.65 : x
  2. Step 2: Convert to fraction form
    759.65/1,137.04 = 597.65/x
  3. Step 3: Cross multiply
    759.65x = 1,137.04 × 597.65
  4. Step 4: Simplify right side
    759.65x = 679,544.78
  5. Step 5: Solve for x
    x = 679,544.78/759.65
  6. Step 6: Final answer
    x = 894.56

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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.