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Finding the Fourth Proportional to 895.02, 1,341.59 and 461.27

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Solution

The fourth proportional to 895.02, 1,341.59 and 461.27 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,341.59 = 461.27 : x
  2. Step 2: Convert to fraction form
    895.02/1,341.59 = 461.27/x
  3. Step 3: Cross multiply
    895.02x = 1,341.59 × 461.27
  4. Step 4: Simplify right side
    895.02x = 618,826.21
  5. Step 5: Solve for x
    x = 618,826.21/895.02
  6. Step 6: Final answer
    x = 691.41

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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.