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Finding the Fourth Proportional to 1,509.64, 2,265.06 and 644.08

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Solution

The fourth proportional to 1,509.64, 2,265.06 and 644.08 is: 966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.64 : 2,265.06 = 644.08 : x
  2. Step 2: Convert to fraction form
    1,509.64/2,265.06 = 644.08/x
  3. Step 3: Cross multiply
    1,509.64x = 2,265.06 × 644.08
  4. Step 4: Simplify right side
    1,509.64x = 1,458,879.84
  5. Step 5: Solve for x
    x = 1,458,879.84/1,509.64
  6. Step 6: Final answer
    x = 966.38

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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.