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Finding the Fourth Proportional to 1,265.84, 1,898.74 and 400.15

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Solution

The fourth proportional to 1,265.84, 1,898.74 and 400.15 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.84 : 1,898.74 = 400.15 : x
  2. Step 2: Convert to fraction form
    1,265.84/1,898.74 = 400.15/x
  3. Step 3: Cross multiply
    1,265.84x = 1,898.74 × 400.15
  4. Step 4: Simplify right side
    1,265.84x = 759,776.06
  5. Step 5: Solve for x
    x = 759,776.06/1,265.84
  6. Step 6: Final answer
    x = 600.22

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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.