Home / 1,056.94-1,584.30-569.86

Finding the Fourth Proportional to 1,056.94, 1,584.30 and 569.86

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Solution

The fourth proportional to 1,056.94, 1,584.30 and 569.86 is: 854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.94 : 1,584.30 = 569.86 : x
  2. Step 2: Convert to fraction form
    1,056.94/1,584.30 = 569.86/x
  3. Step 3: Cross multiply
    1,056.94x = 1,584.30 × 569.86
  4. Step 4: Simplify right side
    1,056.94x = 902,829.20
  5. Step 5: Solve for x
    x = 902,829.20/1,056.94
  6. Step 6: Final answer
    x = 854.19

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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.