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Finding the Fourth Proportional to 1,509.14, 2,262.63 and 642.98

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Solution

The fourth proportional to 1,509.14, 2,262.63 and 642.98 is: 964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.14 : 2,262.63 = 642.98 : x
  2. Step 2: Convert to fraction form
    1,509.14/2,262.63 = 642.98/x
  3. Step 3: Cross multiply
    1,509.14x = 2,262.63 × 642.98
  4. Step 4: Simplify right side
    1,509.14x = 1,454,825.84
  5. Step 5: Solve for x
    x = 1,454,825.84/1,509.14
  6. Step 6: Final answer
    x = 964.01

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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.