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Finding the Fourth Proportional to 975.26, 1,455.80 and 902.99

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Solution

The fourth proportional to 975.26, 1,455.80 and 902.99 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.26 : 1,455.80 = 902.99 : x
  2. Step 2: Convert to fraction form
    975.26/1,455.80 = 902.99/x
  3. Step 3: Cross multiply
    975.26x = 1,455.80 × 902.99
  4. Step 4: Simplify right side
    975.26x = 1,314,565.56
  5. Step 5: Solve for x
    x = 1,314,565.56/975.26
  6. Step 6: Final answer
    x = 1,347.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.