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Finding the Fourth Proportional to 895.51, 1,234.87 and 580.42

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Solution

The fourth proportional to 895.51, 1,234.87 and 580.42 is: 800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.51 : 1,234.87 = 580.42 : x
  2. Step 2: Convert to fraction form
    895.51/1,234.87 = 580.42/x
  3. Step 3: Cross multiply
    895.51x = 1,234.87 × 580.42
  4. Step 4: Simplify right side
    895.51x = 716,743.25
  5. Step 5: Solve for x
    x = 716,743.25/895.51
  6. Step 6: Final answer
    x = 800.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.