Home / 1,528.39-2,292.25-706.22

Finding the Fourth Proportional to 1,528.39, 2,292.25 and 706.22

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Solution

The fourth proportional to 1,528.39, 2,292.25 and 706.22 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.39 : 2,292.25 = 706.22 : x
  2. Step 2: Convert to fraction form
    1,528.39/2,292.25 = 706.22/x
  3. Step 3: Cross multiply
    1,528.39x = 2,292.25 × 706.22
  4. Step 4: Simplify right side
    1,528.39x = 1,618,829.49
  5. Step 5: Solve for x
    x = 1,618,829.49/1,528.39
  6. Step 6: Final answer
    x = 1,059.17

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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.