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Finding the Fourth Proportional to 651.24, 897.42 and 569.40

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Solution

The fourth proportional to 651.24, 897.42 and 569.40 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 897.42 = 569.40 : x
  2. Step 2: Convert to fraction form
    651.24/897.42 = 569.40/x
  3. Step 3: Cross multiply
    651.24x = 897.42 × 569.40
  4. Step 4: Simplify right side
    651.24x = 510,990.95
  5. Step 5: Solve for x
    x = 510,990.95/651.24
  6. Step 6: Final answer
    x = 784.64

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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.