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Finding the Fourth Proportional to 1,011.57, 1,392.82 and 893.10

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Solution

The fourth proportional to 1,011.57, 1,392.82 and 893.10 is: 1,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.57 : 1,392.82 = 893.10 : x
  2. Step 2: Convert to fraction form
    1,011.57/1,392.82 = 893.10/x
  3. Step 3: Cross multiply
    1,011.57x = 1,392.82 × 893.10
  4. Step 4: Simplify right side
    1,011.57x = 1,243,927.54
  5. Step 5: Solve for x
    x = 1,243,927.54/1,011.57
  6. Step 6: Final answer
    x = 1,229.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.