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Finding the Fourth Proportional to 1,265.41, 1,898.37 and 534.98

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Solution

The fourth proportional to 1,265.41, 1,898.37 and 534.98 is: 802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.41 : 1,898.37 = 534.98 : x
  2. Step 2: Convert to fraction form
    1,265.41/1,898.37 = 534.98/x
  3. Step 3: Cross multiply
    1,265.41x = 1,898.37 × 534.98
  4. Step 4: Simplify right side
    1,265.41x = 1,015,594.73
  5. Step 5: Solve for x
    x = 1,015,594.73/1,265.41
  6. Step 6: Final answer
    x = 802.58

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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.