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Finding the Fourth Proportional to 1,087.87, 1,501.26 and 590.51

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Solution

The fourth proportional to 1,087.87, 1,501.26 and 590.51 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.87 : 1,501.26 = 590.51 : x
  2. Step 2: Convert to fraction form
    1,087.87/1,501.26 = 590.51/x
  3. Step 3: Cross multiply
    1,087.87x = 1,501.26 × 590.51
  4. Step 4: Simplify right side
    1,087.87x = 886,509.04
  5. Step 5: Solve for x
    x = 886,509.04/1,087.87
  6. Step 6: Final answer
    x = 814.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.