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Finding the Fourth Proportional to 1,254.39, 1,880.64 and 637.80

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Solution

The fourth proportional to 1,254.39, 1,880.64 and 637.80 is: 956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.39 : 1,880.64 = 637.80 : x
  2. Step 2: Convert to fraction form
    1,254.39/1,880.64 = 637.80/x
  3. Step 3: Cross multiply
    1,254.39x = 1,880.64 × 637.80
  4. Step 4: Simplify right side
    1,254.39x = 1,199,472.19
  5. Step 5: Solve for x
    x = 1,199,472.19/1,254.39
  6. Step 6: Final answer
    x = 956.22

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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.