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Finding the Fourth Proportional to 1,072.59, 1,610.70 and 586.59

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Solution

The fourth proportional to 1,072.59, 1,610.70 and 586.59 is: 880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.59 : 1,610.70 = 586.59 : x
  2. Step 2: Convert to fraction form
    1,072.59/1,610.70 = 586.59/x
  3. Step 3: Cross multiply
    1,072.59x = 1,610.70 × 586.59
  4. Step 4: Simplify right side
    1,072.59x = 944,820.51
  5. Step 5: Solve for x
    x = 944,820.51/1,072.59
  6. Step 6: Final answer
    x = 880.88

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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.