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Finding the Fourth Proportional to 707.20, 975.54 and 497.28

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Solution

The fourth proportional to 707.20, 975.54 and 497.28 is: 685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.20 : 975.54 = 497.28 : x
  2. Step 2: Convert to fraction form
    707.20/975.54 = 497.28/x
  3. Step 3: Cross multiply
    707.20x = 975.54 × 497.28
  4. Step 4: Simplify right side
    707.20x = 485,116.53
  5. Step 5: Solve for x
    x = 485,116.53/707.20
  6. Step 6: Final answer
    x = 685.97

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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.