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Finding the Fourth Proportional to 1,303.28, 1,953.84 and 686.64

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Solution

The fourth proportional to 1,303.28, 1,953.84 and 686.64 is: 1,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.28 : 1,953.84 = 686.64 : x
  2. Step 2: Convert to fraction form
    1,303.28/1,953.84 = 686.64/x
  3. Step 3: Cross multiply
    1,303.28x = 1,953.84 × 686.64
  4. Step 4: Simplify right side
    1,303.28x = 1,341,584.70
  5. Step 5: Solve for x
    x = 1,341,584.70/1,303.28
  6. Step 6: Final answer
    x = 1,029.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.