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Finding the Fourth Proportional to 1,066.04, 1,600.02 and 546.41

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Solution

The fourth proportional to 1,066.04, 1,600.02 and 546.41 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.04 : 1,600.02 = 546.41 : x
  2. Step 2: Convert to fraction form
    1,066.04/1,600.02 = 546.41/x
  3. Step 3: Cross multiply
    1,066.04x = 1,600.02 × 546.41
  4. Step 4: Simplify right side
    1,066.04x = 874,258.93
  5. Step 5: Solve for x
    x = 874,258.93/1,066.04
  6. Step 6: Final answer
    x = 820.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.