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Finding the Fourth Proportional to 1,503.07, 2,254.74 and 407.44

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Solution

The fourth proportional to 1,503.07, 2,254.74 and 407.44 is: 611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.07 : 2,254.74 = 407.44 : x
  2. Step 2: Convert to fraction form
    1,503.07/2,254.74 = 407.44/x
  3. Step 3: Cross multiply
    1,503.07x = 2,254.74 × 407.44
  4. Step 4: Simplify right side
    1,503.07x = 918,671.27
  5. Step 5: Solve for x
    x = 918,671.27/1,503.07
  6. Step 6: Final answer
    x = 611.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.