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Finding the Fourth Proportional to 661.56, 987.78 and 569.16

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Solution

The fourth proportional to 661.56, 987.78 and 569.16 is: 849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.56 : 987.78 = 569.16 : x
  2. Step 2: Convert to fraction form
    661.56/987.78 = 569.16/x
  3. Step 3: Cross multiply
    661.56x = 987.78 × 569.16
  4. Step 4: Simplify right side
    661.56x = 562,204.86
  5. Step 5: Solve for x
    x = 562,204.86/661.56
  6. Step 6: Final answer
    x = 849.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.