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Finding the Fourth Proportional to 1,497.65, 2,065.95 and 908.06

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Solution

The fourth proportional to 1,497.65, 2,065.95 and 908.06 is: 1,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.65 : 2,065.95 = 908.06 : x
  2. Step 2: Convert to fraction form
    1,497.65/2,065.95 = 908.06/x
  3. Step 3: Cross multiply
    1,497.65x = 2,065.95 × 908.06
  4. Step 4: Simplify right side
    1,497.65x = 1,875,996.23
  5. Step 5: Solve for x
    x = 1,875,996.23/1,497.65
  6. Step 6: Final answer
    x = 1,252.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.