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Finding the Fourth Proportional to 1,155.02, 1,732.26 and 569.42

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Solution

The fourth proportional to 1,155.02, 1,732.26 and 569.42 is: 854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.02 : 1,732.26 = 569.42 : x
  2. Step 2: Convert to fraction form
    1,155.02/1,732.26 = 569.42/x
  3. Step 3: Cross multiply
    1,155.02x = 1,732.26 × 569.42
  4. Step 4: Simplify right side
    1,155.02x = 986,383.49
  5. Step 5: Solve for x
    x = 986,383.49/1,155.02
  6. Step 6: Final answer
    x = 854.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.