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Finding the Fourth Proportional to 895.07, 1,340.86 and 616.77

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Solution

The fourth proportional to 895.07, 1,340.86 and 616.77 is: 923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.07 : 1,340.86 = 616.77 : x
  2. Step 2: Convert to fraction form
    895.07/1,340.86 = 616.77/x
  3. Step 3: Cross multiply
    895.07x = 1,340.86 × 616.77
  4. Step 4: Simplify right side
    895.07x = 826,995.79
  5. Step 5: Solve for x
    x = 826,995.79/895.07
  6. Step 6: Final answer
    x = 923.95

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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.