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Finding the Fourth Proportional to 895.53, 1,235.37 and 563.33

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Solution

The fourth proportional to 895.53, 1,235.37 and 563.33 is: 777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.53 : 1,235.37 = 563.33 : x
  2. Step 2: Convert to fraction form
    895.53/1,235.37 = 563.33/x
  3. Step 3: Cross multiply
    895.53x = 1,235.37 × 563.33
  4. Step 4: Simplify right side
    895.53x = 695,918.17
  5. Step 5: Solve for x
    x = 695,918.17/895.53
  6. Step 6: Final answer
    x = 777.10

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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.