Home / 1,056.20-1,584.80-709.70

Finding the Fourth Proportional to 1,056.20, 1,584.80 and 709.70

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Solution

The fourth proportional to 1,056.20, 1,584.80 and 709.70 is: 1,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.20 : 1,584.80 = 709.70 : x
  2. Step 2: Convert to fraction form
    1,056.20/1,584.80 = 709.70/x
  3. Step 3: Cross multiply
    1,056.20x = 1,584.80 × 709.70
  4. Step 4: Simplify right side
    1,056.20x = 1,124,732.56
  5. Step 5: Solve for x
    x = 1,124,732.56/1,056.20
  6. Step 6: Final answer
    x = 1,064.89

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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.