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Finding the Fourth Proportional to 1,150.07, 1,586.59 and 707.81

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Solution

The fourth proportional to 1,150.07, 1,586.59 and 707.81 is: 976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.07 : 1,586.59 = 707.81 : x
  2. Step 2: Convert to fraction form
    1,150.07/1,586.59 = 707.81/x
  3. Step 3: Cross multiply
    1,150.07x = 1,586.59 × 707.81
  4. Step 4: Simplify right side
    1,150.07x = 1,123,004.27
  5. Step 5: Solve for x
    x = 1,123,004.27/1,150.07
  6. Step 6: Final answer
    x = 976.47

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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.