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Finding the Fourth Proportional to 1,503.68, 2,255.54 and 529.82

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Solution

The fourth proportional to 1,503.68, 2,255.54 and 529.82 is: 794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.68 : 2,255.54 = 529.82 : x
  2. Step 2: Convert to fraction form
    1,503.68/2,255.54 = 529.82/x
  3. Step 3: Cross multiply
    1,503.68x = 2,255.54 × 529.82
  4. Step 4: Simplify right side
    1,503.68x = 1,195,030.20
  5. Step 5: Solve for x
    x = 1,195,030.20/1,503.68
  6. Step 6: Final answer
    x = 794.74

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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.