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Finding the Fourth Proportional to 1,071.02, 1,606.69 and 522.85

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Solution

The fourth proportional to 1,071.02, 1,606.69 and 522.85 is: 784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.02 : 1,606.69 = 522.85 : x
  2. Step 2: Convert to fraction form
    1,071.02/1,606.69 = 522.85/x
  3. Step 3: Cross multiply
    1,071.02x = 1,606.69 × 522.85
  4. Step 4: Simplify right side
    1,071.02x = 840,057.87
  5. Step 5: Solve for x
    x = 840,057.87/1,071.02
  6. Step 6: Final answer
    x = 784.35

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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.