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Finding the Fourth Proportional to 710.12, 973.57 and 697.16

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Solution

The fourth proportional to 710.12, 973.57 and 697.16 is: 955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.12 : 973.57 = 697.16 : x
  2. Step 2: Convert to fraction form
    710.12/973.57 = 697.16/x
  3. Step 3: Cross multiply
    710.12x = 973.57 × 697.16
  4. Step 4: Simplify right side
    710.12x = 678,734.06
  5. Step 5: Solve for x
    x = 678,734.06/710.12
  6. Step 6: Final answer
    x = 955.80

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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.