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Finding the Fourth Proportional to 954.62, 1,316.88 and 777.77

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Solution

The fourth proportional to 954.62, 1,316.88 and 777.77 is: 1,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.62 : 1,316.88 = 777.77 : x
  2. Step 2: Convert to fraction form
    954.62/1,316.88 = 777.77/x
  3. Step 3: Cross multiply
    954.62x = 1,316.88 × 777.77
  4. Step 4: Simplify right side
    954.62x = 1,024,229.76
  5. Step 5: Solve for x
    x = 1,024,229.76/954.62
  6. Step 6: Final answer
    x = 1,072.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.