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Finding the Fourth Proportional to 1,056.48, 1,584.66 and 326.08

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Solution

The fourth proportional to 1,056.48, 1,584.66 and 326.08 is: 489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.48 : 1,584.66 = 326.08 : x
  2. Step 2: Convert to fraction form
    1,056.48/1,584.66 = 326.08/x
  3. Step 3: Cross multiply
    1,056.48x = 1,584.66 × 326.08
  4. Step 4: Simplify right side
    1,056.48x = 516,725.93
  5. Step 5: Solve for x
    x = 516,725.93/1,056.48
  6. Step 6: Final answer
    x = 489.10

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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.