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Finding the Fourth Proportional to 1,509.64, 2,263.99 and 729.16

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Solution

The fourth proportional to 1,509.64, 2,263.99 and 729.16 is: 1,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.64 : 2,263.99 = 729.16 : x
  2. Step 2: Convert to fraction form
    1,509.64/2,263.99 = 729.16/x
  3. Step 3: Cross multiply
    1,509.64x = 2,263.99 × 729.16
  4. Step 4: Simplify right side
    1,509.64x = 1,650,811.81
  5. Step 5: Solve for x
    x = 1,650,811.81/1,509.64
  6. Step 6: Final answer
    x = 1,093.51

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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.