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Finding the Fourth Proportional to 1,302.75, 1,952.31 and 599.10

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Solution

The fourth proportional to 1,302.75, 1,952.31 and 599.10 is: 897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.75 : 1,952.31 = 599.10 : x
  2. Step 2: Convert to fraction form
    1,302.75/1,952.31 = 599.10/x
  3. Step 3: Cross multiply
    1,302.75x = 1,952.31 × 599.10
  4. Step 4: Simplify right side
    1,302.75x = 1,169,628.92
  5. Step 5: Solve for x
    x = 1,169,628.92/1,302.75
  6. Step 6: Final answer
    x = 897.82

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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.