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Finding the Fourth Proportional to 684.51, 1,025.95 and 318.52

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Solution

The fourth proportional to 684.51, 1,025.95 and 318.52 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.51 : 1,025.95 = 318.52 : x
  2. Step 2: Convert to fraction form
    684.51/1,025.95 = 318.52/x
  3. Step 3: Cross multiply
    684.51x = 1,025.95 × 318.52
  4. Step 4: Simplify right side
    684.51x = 326,785.59
  5. Step 5: Solve for x
    x = 326,785.59/684.51
  6. Step 6: Final answer
    x = 477.40

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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.