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Finding the Fourth Proportional to 1,265.87, 1,898.75 and 534.90

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Solution

The fourth proportional to 1,265.87, 1,898.75 and 534.90 is: 802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.87 : 1,898.75 = 534.90 : x
  2. Step 2: Convert to fraction form
    1,265.87/1,898.75 = 534.90/x
  3. Step 3: Cross multiply
    1,265.87x = 1,898.75 × 534.90
  4. Step 4: Simplify right side
    1,265.87x = 1,015,638.70
  5. Step 5: Solve for x
    x = 1,015,638.70/1,265.87
  6. Step 6: Final answer
    x = 802.33

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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.