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Finding the Fourth Proportional to 707.93, 975.91 and 497.47

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Solution

The fourth proportional to 707.93, 975.91 and 497.47 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.93 : 975.91 = 497.47 : x
  2. Step 2: Convert to fraction form
    707.93/975.91 = 497.47/x
  3. Step 3: Cross multiply
    707.93x = 975.91 × 497.47
  4. Step 4: Simplify right side
    707.93x = 485,485.95
  5. Step 5: Solve for x
    x = 485,485.95/707.93
  6. Step 6: Final answer
    x = 685.78

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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.