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Finding the Fourth Proportional to 1,048, 1,570.80 and 586

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Solution

The fourth proportional to 1,048, 1,570.80 and 586 is: 878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048 : 1,570.80 = 586 : x
  2. Step 2: Convert to fraction form
    1,048/1,570.80 = 586/x
  3. Step 3: Cross multiply
    1,048x = 1,570.80 × 586
  4. Step 4: Simplify right side
    1,048x = 920,488.80
  5. Step 5: Solve for x
    x = 920,488.80/1,048
  6. Step 6: Final answer
    x = 878.33

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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.