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Finding the Fourth Proportional to 649.83, 894.04 and 567.13

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Solution

The fourth proportional to 649.83, 894.04 and 567.13 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.83 : 894.04 = 567.13 : x
  2. Step 2: Convert to fraction form
    649.83/894.04 = 567.13/x
  3. Step 3: Cross multiply
    649.83x = 894.04 × 567.13
  4. Step 4: Simplify right side
    649.83x = 507,033.25
  5. Step 5: Solve for x
    x = 507,033.25/649.83
  6. Step 6: Final answer
    x = 780.26

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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.