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Finding the Fourth Proportional to 1,579.63, 2,369.63 and 655.07

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Solution

The fourth proportional to 1,579.63, 2,369.63 and 655.07 is: 982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.63 : 2,369.63 = 655.07 : x
  2. Step 2: Convert to fraction form
    1,579.63/2,369.63 = 655.07/x
  3. Step 3: Cross multiply
    1,579.63x = 2,369.63 × 655.07
  4. Step 4: Simplify right side
    1,579.63x = 1,552,264.32
  5. Step 5: Solve for x
    x = 1,552,264.32/1,579.63
  6. Step 6: Final answer
    x = 982.68

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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.