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Finding the Fourth Proportional to 1,061.71, 1,464.88 and 619.34

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Solution

The fourth proportional to 1,061.71, 1,464.88 and 619.34 is: 854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.71 : 1,464.88 = 619.34 : x
  2. Step 2: Convert to fraction form
    1,061.71/1,464.88 = 619.34/x
  3. Step 3: Cross multiply
    1,061.71x = 1,464.88 × 619.34
  4. Step 4: Simplify right side
    1,061.71x = 907,258.78
  5. Step 5: Solve for x
    x = 907,258.78/1,061.71
  6. Step 6: Final answer
    x = 854.53

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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.