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Finding the Fourth Proportional to 1,503.06, 2,254.77 and 637.08

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Solution

The fourth proportional to 1,503.06, 2,254.77 and 637.08 is: 955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.06 : 2,254.77 = 637.08 : x
  2. Step 2: Convert to fraction form
    1,503.06/2,254.77 = 637.08/x
  3. Step 3: Cross multiply
    1,503.06x = 2,254.77 × 637.08
  4. Step 4: Simplify right side
    1,503.06x = 1,436,468.87
  5. Step 5: Solve for x
    x = 1,436,468.87/1,503.06
  6. Step 6: Final answer
    x = 955.70

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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.