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Finding the Fourth Proportional to 1,620.29, 2,430.47 and 524.77

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Solution

The fourth proportional to 1,620.29, 2,430.47 and 524.77 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.29 : 2,430.47 = 524.77 : x
  2. Step 2: Convert to fraction form
    1,620.29/2,430.47 = 524.77/x
  3. Step 3: Cross multiply
    1,620.29x = 2,430.47 × 524.77
  4. Step 4: Simplify right side
    1,620.29x = 1,275,432.98
  5. Step 5: Solve for x
    x = 1,275,432.98/1,620.29
  6. Step 6: Final answer
    x = 787.16

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