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Finding the Fourth Proportional to 1,509.46, 2,264.60 and 643.84

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Solution

The fourth proportional to 1,509.46, 2,264.60 and 643.84 is: 965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.46 : 2,264.60 = 643.84 : x
  2. Step 2: Convert to fraction form
    1,509.46/2,264.60 = 643.84/x
  3. Step 3: Cross multiply
    1,509.46x = 2,264.60 × 643.84
  4. Step 4: Simplify right side
    1,509.46x = 1,458,036.84
  5. Step 5: Solve for x
    x = 1,458,036.84/1,509.46
  6. Step 6: Final answer
    x = 965.93

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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.