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Finding the Fourth Proportional to 1,153.00, 1,590.89 and 680.67

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Solution

The fourth proportional to 1,153.00, 1,590.89 and 680.67 is: 939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.00 : 1,590.89 = 680.67 : x
  2. Step 2: Convert to fraction form
    1,153.00/1,590.89 = 680.67/x
  3. Step 3: Cross multiply
    1,153.00x = 1,590.89 × 680.67
  4. Step 4: Simplify right side
    1,153.00x = 1,082,864.81
  5. Step 5: Solve for x
    x = 1,082,864.81/1,153.00
  6. Step 6: Final answer
    x = 939.17

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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.