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Finding the Fourth Proportional to 954.02, 1,317.29 and 766.91

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Solution

The fourth proportional to 954.02, 1,317.29 and 766.91 is: 1,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.02 : 1,317.29 = 766.91 : x
  2. Step 2: Convert to fraction form
    954.02/1,317.29 = 766.91/x
  3. Step 3: Cross multiply
    954.02x = 1,317.29 × 766.91
  4. Step 4: Simplify right side
    954.02x = 1,010,232.45
  5. Step 5: Solve for x
    x = 1,010,232.45/954.02
  6. Step 6: Final answer
    x = 1,058.93

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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.