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Finding the Fourth Proportional to 895.21, 1,342.76 and 587.31

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Solution

The fourth proportional to 895.21, 1,342.76 and 587.31 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.21 : 1,342.76 = 587.31 : x
  2. Step 2: Convert to fraction form
    895.21/1,342.76 = 587.31/x
  3. Step 3: Cross multiply
    895.21x = 1,342.76 × 587.31
  4. Step 4: Simplify right side
    895.21x = 788,616.38
  5. Step 5: Solve for x
    x = 788,616.38/895.21
  6. Step 6: Final answer
    x = 880.93

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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.