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Finding the Fourth Proportional to 887.09, 1,225.53 and 825.59

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Solution

The fourth proportional to 887.09, 1,225.53 and 825.59 is: 1,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.09 : 1,225.53 = 825.59 : x
  2. Step 2: Convert to fraction form
    887.09/1,225.53 = 825.59/x
  3. Step 3: Cross multiply
    887.09x = 1,225.53 × 825.59
  4. Step 4: Simplify right side
    887.09x = 1,011,788.38
  5. Step 5: Solve for x
    x = 1,011,788.38/887.09
  6. Step 6: Final answer
    x = 1,140.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.