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Finding the Fourth Proportional to 1,265.66, 1,898.74 and 535.23

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Solution

The fourth proportional to 1,265.66, 1,898.74 and 535.23 is: 802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.66 : 1,898.74 = 535.23 : x
  2. Step 2: Convert to fraction form
    1,265.66/1,898.74 = 535.23/x
  3. Step 3: Cross multiply
    1,265.66x = 1,898.74 × 535.23
  4. Step 4: Simplify right side
    1,265.66x = 1,016,262.61
  5. Step 5: Solve for x
    x = 1,016,262.61/1,265.66
  6. Step 6: Final answer
    x = 802.95

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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.