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Finding the Fourth Proportional to 864.82, 1,193.02 and 569.98

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Solution

The fourth proportional to 864.82, 1,193.02 and 569.98 is: 786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.82 : 1,193.02 = 569.98 : x
  2. Step 2: Convert to fraction form
    864.82/1,193.02 = 569.98/x
  3. Step 3: Cross multiply
    864.82x = 1,193.02 × 569.98
  4. Step 4: Simplify right side
    864.82x = 679,994.69
  5. Step 5: Solve for x
    x = 679,994.69/864.82
  6. Step 6: Final answer
    x = 786.28

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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.