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Finding the Fourth Proportional to 651.07, 896.16 and 567.24

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Solution

The fourth proportional to 651.07, 896.16 and 567.24 is: 780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.07 : 896.16 = 567.24 : x
  2. Step 2: Convert to fraction form
    651.07/896.16 = 567.24/x
  3. Step 3: Cross multiply
    651.07x = 896.16 × 567.24
  4. Step 4: Simplify right side
    651.07x = 508,337.80
  5. Step 5: Solve for x
    x = 508,337.80/651.07
  6. Step 6: Final answer
    x = 780.77

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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.