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Finding the Fourth Proportional to 1,503.64, 2,254.51 and 772.21

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Solution

The fourth proportional to 1,503.64, 2,254.51 and 772.21 is: 1,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.64 : 2,254.51 = 772.21 : x
  2. Step 2: Convert to fraction form
    1,503.64/2,254.51 = 772.21/x
  3. Step 3: Cross multiply
    1,503.64x = 2,254.51 × 772.21
  4. Step 4: Simplify right side
    1,503.64x = 1,740,955.17
  5. Step 5: Solve for x
    x = 1,740,955.17/1,503.64
  6. Step 6: Final answer
    x = 1,157.83

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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.