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Finding the Fourth Proportional to 1,036.11, 1,430.24 and 686.67

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Solution

The fourth proportional to 1,036.11, 1,430.24 and 686.67 is: 947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.11 : 1,430.24 = 686.67 : x
  2. Step 2: Convert to fraction form
    1,036.11/1,430.24 = 686.67/x
  3. Step 3: Cross multiply
    1,036.11x = 1,430.24 × 686.67
  4. Step 4: Simplify right side
    1,036.11x = 982,099.47
  5. Step 5: Solve for x
    x = 982,099.47/1,036.11
  6. Step 6: Final answer
    x = 947.87

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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.