Home / 1,056.25-1,584.69-471.40

Finding the Fourth Proportional to 1,056.25, 1,584.69 and 471.40

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Solution

The fourth proportional to 1,056.25, 1,584.69 and 471.40 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.25 : 1,584.69 = 471.40 : x
  2. Step 2: Convert to fraction form
    1,056.25/1,584.69 = 471.40/x
  3. Step 3: Cross multiply
    1,056.25x = 1,584.69 × 471.40
  4. Step 4: Simplify right side
    1,056.25x = 747,022.87
  5. Step 5: Solve for x
    x = 747,022.87/1,056.25
  6. Step 6: Final answer
    x = 707.24

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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.