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Finding the Fourth Proportional to 970.23, 1,338.87 and 577.02

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Solution

The fourth proportional to 970.23, 1,338.87 and 577.02 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.23 : 1,338.87 = 577.02 : x
  2. Step 2: Convert to fraction form
    970.23/1,338.87 = 577.02/x
  3. Step 3: Cross multiply
    970.23x = 1,338.87 × 577.02
  4. Step 4: Simplify right side
    970.23x = 772,554.77
  5. Step 5: Solve for x
    x = 772,554.77/970.23
  6. Step 6: Final answer
    x = 796.26

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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.