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Finding the Fourth Proportional to 1,509.64, 2,263.69 and 687.21

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Solution

The fourth proportional to 1,509.64, 2,263.69 and 687.21 is: 1,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.64 : 2,263.69 = 687.21 : x
  2. Step 2: Convert to fraction form
    1,509.64/2,263.69 = 687.21/x
  3. Step 3: Cross multiply
    1,509.64x = 2,263.69 × 687.21
  4. Step 4: Simplify right side
    1,509.64x = 1,555,630.40
  5. Step 5: Solve for x
    x = 1,555,630.40/1,509.64
  6. Step 6: Final answer
    x = 1,030.46

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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.