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Finding the Fourth Proportional to 1,133.46, 1,564.47 and 667.71

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Solution

The fourth proportional to 1,133.46, 1,564.47 and 667.71 is: 921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.46 : 1,564.47 = 667.71 : x
  2. Step 2: Convert to fraction form
    1,133.46/1,564.47 = 667.71/x
  3. Step 3: Cross multiply
    1,133.46x = 1,564.47 × 667.71
  4. Step 4: Simplify right side
    1,133.46x = 1,044,612.26
  5. Step 5: Solve for x
    x = 1,044,612.26/1,133.46
  6. Step 6: Final answer
    x = 921.61

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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.