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Finding the Fourth Proportional to 713.11, 975.62 and 710.03

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Solution

The fourth proportional to 713.11, 975.62 and 710.03 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.11 : 975.62 = 710.03 : x
  2. Step 2: Convert to fraction form
    713.11/975.62 = 710.03/x
  3. Step 3: Cross multiply
    713.11x = 975.62 × 710.03
  4. Step 4: Simplify right side
    713.11x = 692,719.47
  5. Step 5: Solve for x
    x = 692,719.47/713.11
  6. Step 6: Final answer
    x = 971.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.