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Finding the Fourth Proportional to 1,352.21, 1,866.05 and 731.21

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Solution

The fourth proportional to 1,352.21, 1,866.05 and 731.21 is: 1,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.21 : 1,866.05 = 731.21 : x
  2. Step 2: Convert to fraction form
    1,352.21/1,866.05 = 731.21/x
  3. Step 3: Cross multiply
    1,352.21x = 1,866.05 × 731.21
  4. Step 4: Simplify right side
    1,352.21x = 1,364,461.43
  5. Step 5: Solve for x
    x = 1,364,461.43/1,352.21
  6. Step 6: Final answer
    x = 1,009.06

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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.