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Finding the Fourth Proportional to 1,579.70, 2,368.21 and 654.68

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Solution

The fourth proportional to 1,579.70, 2,368.21 and 654.68 is: 981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.70 : 2,368.21 = 654.68 : x
  2. Step 2: Convert to fraction form
    1,579.70/2,368.21 = 654.68/x
  3. Step 3: Cross multiply
    1,579.70x = 2,368.21 × 654.68
  4. Step 4: Simplify right side
    1,579.70x = 1,550,419.72
  5. Step 5: Solve for x
    x = 1,550,419.72/1,579.70
  6. Step 6: Final answer
    x = 981.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.