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Finding the Fourth Proportional to 895.79, 1,236.36 and 564.40

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Solution

The fourth proportional to 895.79, 1,236.36 and 564.40 is: 778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.79 : 1,236.36 = 564.40 : x
  2. Step 2: Convert to fraction form
    895.79/1,236.36 = 564.40/x
  3. Step 3: Cross multiply
    895.79x = 1,236.36 × 564.40
  4. Step 4: Simplify right side
    895.79x = 697,805.25
  5. Step 5: Solve for x
    x = 697,805.25/895.79
  6. Step 6: Final answer
    x = 778.98

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