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Finding the Fourth Proportional to 1,133.32, 1,564.02 and 667.40

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Solution

The fourth proportional to 1,133.32, 1,564.02 and 667.40 is: 921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.32 : 1,564.02 = 667.40 : x
  2. Step 2: Convert to fraction form
    1,133.32/1,564.02 = 667.40/x
  3. Step 3: Cross multiply
    1,133.32x = 1,564.02 × 667.40
  4. Step 4: Simplify right side
    1,133.32x = 1,043,826.95
  5. Step 5: Solve for x
    x = 1,043,826.95/1,133.32
  6. Step 6: Final answer
    x = 921.03

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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.