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Finding the Fourth Proportional to 895.07, 1,235.27 and 563.78

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Solution

The fourth proportional to 895.07, 1,235.27 and 563.78 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.07 : 1,235.27 = 563.78 : x
  2. Step 2: Convert to fraction form
    895.07/1,235.27 = 563.78/x
  3. Step 3: Cross multiply
    895.07x = 1,235.27 × 563.78
  4. Step 4: Simplify right side
    895.07x = 696,420.52
  5. Step 5: Solve for x
    x = 696,420.52/895.07
  6. Step 6: Final answer
    x = 778.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.