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Finding the Fourth Proportional to 707.29, 1,053.64 and 685.80

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Solution

The fourth proportional to 707.29, 1,053.64 and 685.80 is: 1,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.29 : 1,053.64 = 685.80 : x
  2. Step 2: Convert to fraction form
    707.29/1,053.64 = 685.80/x
  3. Step 3: Cross multiply
    707.29x = 1,053.64 × 685.80
  4. Step 4: Simplify right side
    707.29x = 722,582.76
  5. Step 5: Solve for x
    x = 722,582.76/707.29
  6. Step 6: Final answer
    x = 1,021.62

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