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Finding the Fourth Proportional to 759.93, 1,048.70 and 410.62

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Solution

The fourth proportional to 759.93, 1,048.70 and 410.62 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.93 : 1,048.70 = 410.62 : x
  2. Step 2: Convert to fraction form
    759.93/1,048.70 = 410.62/x
  3. Step 3: Cross multiply
    759.93x = 1,048.70 × 410.62
  4. Step 4: Simplify right side
    759.93x = 430,615.86
  5. Step 5: Solve for x
    x = 430,615.86/759.93
  6. Step 6: Final answer
    x = 566.65

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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.