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Finding the Fourth Proportional to 1,767.77, 2,650.96 and 597.45

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Solution

The fourth proportional to 1,767.77, 2,650.96 and 597.45 is: 895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.77 : 2,650.96 = 597.45 : x
  2. Step 2: Convert to fraction form
    1,767.77/2,650.96 = 597.45/x
  3. Step 3: Cross multiply
    1,767.77x = 2,650.96 × 597.45
  4. Step 4: Simplify right side
    1,767.77x = 1,583,827.86
  5. Step 5: Solve for x
    x = 1,583,827.86/1,767.77
  6. Step 6: Final answer
    x = 895.95

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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.