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Finding the Fourth Proportional to 1,072.02, 1,606.20 and 585.42

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Solution

The fourth proportional to 1,072.02, 1,606.20 and 585.42 is: 877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.02 : 1,606.20 = 585.42 : x
  2. Step 2: Convert to fraction form
    1,072.02/1,606.20 = 585.42/x
  3. Step 3: Cross multiply
    1,072.02x = 1,606.20 × 585.42
  4. Step 4: Simplify right side
    1,072.02x = 940,301.60
  5. Step 5: Solve for x
    x = 940,301.60/1,072.02
  6. Step 6: Final answer
    x = 877.13

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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.