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Finding the Fourth Proportional to 895.68, 1,343 and 587.52

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Solution

The fourth proportional to 895.68, 1,343 and 587.52 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.68 : 1,343 = 587.52 : x
  2. Step 2: Convert to fraction form
    895.68/1,343 = 587.52/x
  3. Step 3: Cross multiply
    895.68x = 1,343 × 587.52
  4. Step 4: Simplify right side
    895.68x = 789,039.36
  5. Step 5: Solve for x
    x = 789,039.36/895.68
  6. Step 6: Final answer
    x = 880.94

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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.