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Finding the Fourth Proportional to 895.41, 1,342.14 and 375.69

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Solution

The fourth proportional to 895.41, 1,342.14 and 375.69 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.41 : 1,342.14 = 375.69 : x
  2. Step 2: Convert to fraction form
    895.41/1,342.14 = 375.69/x
  3. Step 3: Cross multiply
    895.41x = 1,342.14 × 375.69
  4. Step 4: Simplify right side
    895.41x = 504,228.58
  5. Step 5: Solve for x
    x = 504,228.58/895.41
  6. Step 6: Final answer
    x = 563.13

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Why These Related Problems?

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