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Finding the Fourth Proportional to 1,065.45, 1,470.99 and 687.99

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Solution

The fourth proportional to 1,065.45, 1,470.99 and 687.99 is: 949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.45 : 1,470.99 = 687.99 : x
  2. Step 2: Convert to fraction form
    1,065.45/1,470.99 = 687.99/x
  3. Step 3: Cross multiply
    1,065.45x = 1,470.99 × 687.99
  4. Step 4: Simplify right side
    1,065.45x = 1,012,034.51
  5. Step 5: Solve for x
    x = 1,012,034.51/1,065.45
  6. Step 6: Final answer
    x = 949.86

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Why These Related Problems?

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