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Finding the Fourth Proportional to 895.52, 1,342.20 and 407.90

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Solution

The fourth proportional to 895.52, 1,342.20 and 407.90 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.52 : 1,342.20 = 407.90 : x
  2. Step 2: Convert to fraction form
    895.52/1,342.20 = 407.90/x
  3. Step 3: Cross multiply
    895.52x = 1,342.20 × 407.90
  4. Step 4: Simplify right side
    895.52x = 547,483.38
  5. Step 5: Solve for x
    x = 547,483.38/895.52
  6. Step 6: Final answer
    x = 611.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.