Home / 1,056.68-1,584.50-326.08

Finding the Fourth Proportional to 1,056.68, 1,584.50 and 326.08

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Solution

The fourth proportional to 1,056.68, 1,584.50 and 326.08 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.68 : 1,584.50 = 326.08 : x
  2. Step 2: Convert to fraction form
    1,056.68/1,584.50 = 326.08/x
  3. Step 3: Cross multiply
    1,056.68x = 1,584.50 × 326.08
  4. Step 4: Simplify right side
    1,056.68x = 516,673.76
  5. Step 5: Solve for x
    x = 516,673.76/1,056.68
  6. Step 6: Final answer
    x = 488.96

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Why These Related Problems?

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