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Finding the Fourth Proportional to 1,065.70, 1,470.94 and 954.98

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Solution

The fourth proportional to 1,065.70, 1,470.94 and 954.98 is: 1,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.70 : 1,470.94 = 954.98 : x
  2. Step 2: Convert to fraction form
    1,065.70/1,470.94 = 954.98/x
  3. Step 3: Cross multiply
    1,065.70x = 1,470.94 × 954.98
  4. Step 4: Simplify right side
    1,065.70x = 1,404,718.28
  5. Step 5: Solve for x
    x = 1,404,718.28/1,065.70
  6. Step 6: Final answer
    x = 1,318.12

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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.