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Finding the Fourth Proportional to 1,106.76, 1,526.72 and 686.96

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Solution

The fourth proportional to 1,106.76, 1,526.72 and 686.96 is: 947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.76 : 1,526.72 = 686.96 : x
  2. Step 2: Convert to fraction form
    1,106.76/1,526.72 = 686.96/x
  3. Step 3: Cross multiply
    1,106.76x = 1,526.72 × 686.96
  4. Step 4: Simplify right side
    1,106.76x = 1,048,795.57
  5. Step 5: Solve for x
    x = 1,048,795.57/1,106.76
  6. Step 6: Final answer
    x = 947.63

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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.