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Finding the Fourth Proportional to 954.86, 1,317.33 and 706.77

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Solution

The fourth proportional to 954.86, 1,317.33 and 706.77 is: 975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.86 : 1,317.33 = 706.77 : x
  2. Step 2: Convert to fraction form
    954.86/1,317.33 = 706.77/x
  3. Step 3: Cross multiply
    954.86x = 1,317.33 × 706.77
  4. Step 4: Simplify right side
    954.86x = 931,049.32
  5. Step 5: Solve for x
    x = 931,049.32/954.86
  6. Step 6: Final answer
    x = 975.07

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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.