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Finding the Fourth Proportional to 895.33, 1,235.55 and 522.28

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Solution

The fourth proportional to 895.33, 1,235.55 and 522.28 is: 720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.33 : 1,235.55 = 522.28 : x
  2. Step 2: Convert to fraction form
    895.33/1,235.55 = 522.28/x
  3. Step 3: Cross multiply
    895.33x = 1,235.55 × 522.28
  4. Step 4: Simplify right side
    895.33x = 645,303.05
  5. Step 5: Solve for x
    x = 645,303.05/895.33
  6. Step 6: Final answer
    x = 720.74

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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.