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Finding the Fourth Proportional to 1,509.94, 2,263.68 and 535.51

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Solution

The fourth proportional to 1,509.94, 2,263.68 and 535.51 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.94 : 2,263.68 = 535.51 : x
  2. Step 2: Convert to fraction form
    1,509.94/2,263.68 = 535.51/x
  3. Step 3: Cross multiply
    1,509.94x = 2,263.68 × 535.51
  4. Step 4: Simplify right side
    1,509.94x = 1,212,217.62
  5. Step 5: Solve for x
    x = 1,212,217.62/1,509.94
  6. Step 6: Final answer
    x = 802.83

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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.