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Finding the Fourth Proportional to 954.37, 1,317.01 and 561.40

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Solution

The fourth proportional to 954.37, 1,317.01 and 561.40 is: 774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.37 : 1,317.01 = 561.40 : x
  2. Step 2: Convert to fraction form
    954.37/1,317.01 = 561.40/x
  3. Step 3: Cross multiply
    954.37x = 1,317.01 × 561.40
  4. Step 4: Simplify right side
    954.37x = 739,369.41
  5. Step 5: Solve for x
    x = 739,369.41/954.37
  6. Step 6: Final answer
    x = 774.72

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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.