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Finding the Fourth Proportional to 1,508.51, 2,262.15 and 583.55

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Solution

The fourth proportional to 1,508.51, 2,262.15 and 583.55 is: 875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.51 : 2,262.15 = 583.55 : x
  2. Step 2: Convert to fraction form
    1,508.51/2,262.15 = 583.55/x
  3. Step 3: Cross multiply
    1,508.51x = 2,262.15 × 583.55
  4. Step 4: Simplify right side
    1,508.51x = 1,320,077.63
  5. Step 5: Solve for x
    x = 1,320,077.63/1,508.51
  6. Step 6: Final answer
    x = 875.09

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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.