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Finding the Fourth Proportional to 1,508.94, 2,263.14 and 534.87

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Solution

The fourth proportional to 1,508.94, 2,263.14 and 534.87 is: 802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.94 : 2,263.14 = 534.87 : x
  2. Step 2: Convert to fraction form
    1,508.94/2,263.14 = 534.87/x
  3. Step 3: Cross multiply
    1,508.94x = 2,263.14 × 534.87
  4. Step 4: Simplify right side
    1,508.94x = 1,210,485.69
  5. Step 5: Solve for x
    x = 1,210,485.69/1,508.94
  6. Step 6: Final answer
    x = 802.21

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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.