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Finding the Fourth Proportional to 707.70, 1,054.02 and 682.19

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Solution

The fourth proportional to 707.70, 1,054.02 and 682.19 is: 1,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.70 : 1,054.02 = 682.19 : x
  2. Step 2: Convert to fraction form
    707.70/1,054.02 = 682.19/x
  3. Step 3: Cross multiply
    707.70x = 1,054.02 × 682.19
  4. Step 4: Simplify right side
    707.70x = 719,036.63
  5. Step 5: Solve for x
    x = 719,036.63/707.70
  6. Step 6: Final answer
    x = 1,016.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.