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Finding the Fourth Proportional to 964.71, 1,454.96 and 859.01

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Solution

The fourth proportional to 964.71, 1,454.96 and 859.01 is: 1,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,454.96 = 859.01 : x
  2. Step 2: Convert to fraction form
    964.71/1,454.96 = 859.01/x
  3. Step 3: Cross multiply
    964.71x = 1,454.96 × 859.01
  4. Step 4: Simplify right side
    964.71x = 1,249,820.06
  5. Step 5: Solve for x
    x = 1,249,820.06/964.71
  6. Step 6: Final answer
    x = 1,295.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.