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Finding the Fourth Proportional to 972.04, 1,341.33 and 677.95

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Solution

The fourth proportional to 972.04, 1,341.33 and 677.95 is: 935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.04 : 1,341.33 = 677.95 : x
  2. Step 2: Convert to fraction form
    972.04/1,341.33 = 677.95/x
  3. Step 3: Cross multiply
    972.04x = 1,341.33 × 677.95
  4. Step 4: Simplify right side
    972.04x = 909,347.97
  5. Step 5: Solve for x
    x = 909,347.97/972.04
  6. Step 6: Final answer
    x = 935.51

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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.