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Finding the Fourth Proportional to 925.99, 1,277.74 and 702.06

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Solution

The fourth proportional to 925.99, 1,277.74 and 702.06 is: 968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.99 : 1,277.74 = 702.06 : x
  2. Step 2: Convert to fraction form
    925.99/1,277.74 = 702.06/x
  3. Step 3: Cross multiply
    925.99x = 1,277.74 × 702.06
  4. Step 4: Simplify right side
    925.99x = 897,050.14
  5. Step 5: Solve for x
    x = 897,050.14/925.99
  6. Step 6: Final answer
    x = 968.75

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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.