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Finding the Fourth Proportional to 1,301.65, 1,951.09 and 607.51

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Solution

The fourth proportional to 1,301.65, 1,951.09 and 607.51 is: 910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.65 : 1,951.09 = 607.51 : x
  2. Step 2: Convert to fraction form
    1,301.65/1,951.09 = 607.51/x
  3. Step 3: Cross multiply
    1,301.65x = 1,951.09 × 607.51
  4. Step 4: Simplify right side
    1,301.65x = 1,185,306.69
  5. Step 5: Solve for x
    x = 1,185,306.69/1,301.65
  6. Step 6: Final answer
    x = 910.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.