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Finding the Fourth Proportional to 1,508.66, 2,263.24 and 535.04

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Solution

The fourth proportional to 1,508.66, 2,263.24 and 535.04 is: 802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.66 : 2,263.24 = 535.04 : x
  2. Step 2: Convert to fraction form
    1,508.66/2,263.24 = 535.04/x
  3. Step 3: Cross multiply
    1,508.66x = 2,263.24 × 535.04
  4. Step 4: Simplify right side
    1,508.66x = 1,210,923.93
  5. Step 5: Solve for x
    x = 1,210,923.93/1,508.66
  6. Step 6: Final answer
    x = 802.65

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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.