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Finding the Fourth Proportional to 1,048.14, 1,572.21 and 585.84

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Solution

The fourth proportional to 1,048.14, 1,572.21 and 585.84 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,572.21 = 585.84 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,572.21 = 585.84/x
  3. Step 3: Cross multiply
    1,048.14x = 1,572.21 × 585.84
  4. Step 4: Simplify right side
    1,048.14x = 921,063.51
  5. Step 5: Solve for x
    x = 921,063.51/1,048.14
  6. Step 6: Final answer
    x = 878.76

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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.