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Finding the Fourth Proportional to 1,133.78, 1,566.21 and 875.12

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Solution

The fourth proportional to 1,133.78, 1,566.21 and 875.12 is: 1,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.78 : 1,566.21 = 875.12 : x
  2. Step 2: Convert to fraction form
    1,133.78/1,566.21 = 875.12/x
  3. Step 3: Cross multiply
    1,133.78x = 1,566.21 × 875.12
  4. Step 4: Simplify right side
    1,133.78x = 1,370,609.49
  5. Step 5: Solve for x
    x = 1,370,609.49/1,133.78
  6. Step 6: Final answer
    x = 1,208.89

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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.