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Finding the Fourth Proportional to 1,620.31, 2,430.69 and 524.32

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Solution

The fourth proportional to 1,620.31, 2,430.69 and 524.32 is: 786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.31 : 2,430.69 = 524.32 : x
  2. Step 2: Convert to fraction form
    1,620.31/2,430.69 = 524.32/x
  3. Step 3: Cross multiply
    1,620.31x = 2,430.69 × 524.32
  4. Step 4: Simplify right side
    1,620.31x = 1,274,459.38
  5. Step 5: Solve for x
    x = 1,274,459.38/1,620.31
  6. Step 6: Final answer
    x = 786.55

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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.