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Finding the Fourth Proportional to 948.70, 1,309.32 and 555.71

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Solution

The fourth proportional to 948.70, 1,309.32 and 555.71 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.70 : 1,309.32 = 555.71 : x
  2. Step 2: Convert to fraction form
    948.70/1,309.32 = 555.71/x
  3. Step 3: Cross multiply
    948.70x = 1,309.32 × 555.71
  4. Step 4: Simplify right side
    948.70x = 727,602.22
  5. Step 5: Solve for x
    x = 727,602.22/948.70
  6. Step 6: Final answer
    x = 766.95

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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.