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Finding the Fourth Proportional to 954.68, 1,319.75 and 856.26

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Solution

The fourth proportional to 954.68, 1,319.75 and 856.26 is: 1,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.68 : 1,319.75 = 856.26 : x
  2. Step 2: Convert to fraction form
    954.68/1,319.75 = 856.26/x
  3. Step 3: Cross multiply
    954.68x = 1,319.75 × 856.26
  4. Step 4: Simplify right side
    954.68x = 1,130,044.85
  5. Step 5: Solve for x
    x = 1,130,044.85/954.68
  6. Step 6: Final answer
    x = 1,183.70

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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.