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Finding the Fourth Proportional to 895.88, 1,342.54 and 511.24

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Solution

The fourth proportional to 895.88, 1,342.54 and 511.24 is: 766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.88 : 1,342.54 = 511.24 : x
  2. Step 2: Convert to fraction form
    895.88/1,342.54 = 511.24/x
  3. Step 3: Cross multiply
    895.88x = 1,342.54 × 511.24
  4. Step 4: Simplify right side
    895.88x = 686,360.15
  5. Step 5: Solve for x
    x = 686,360.15/895.88
  6. Step 6: Final answer
    x = 766.13

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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.