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Finding the Fourth Proportional to 895.88, 1,235.81 and 564.18

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Solution

The fourth proportional to 895.88, 1,235.81 and 564.18 is: 778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.88 : 1,235.81 = 564.18 : x
  2. Step 2: Convert to fraction form
    895.88/1,235.81 = 564.18/x
  3. Step 3: Cross multiply
    895.88x = 1,235.81 × 564.18
  4. Step 4: Simplify right side
    895.88x = 697,219.29
  5. Step 5: Solve for x
    x = 697,219.29/895.88
  6. Step 6: Final answer
    x = 778.25

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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.