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Finding the Fourth Proportional to 953.41, 1,315.30 and 580.32

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Solution

The fourth proportional to 953.41, 1,315.30 and 580.32 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.41 : 1,315.30 = 580.32 : x
  2. Step 2: Convert to fraction form
    953.41/1,315.30 = 580.32/x
  3. Step 3: Cross multiply
    953.41x = 1,315.30 × 580.32
  4. Step 4: Simplify right side
    953.41x = 763,294.90
  5. Step 5: Solve for x
    x = 763,294.90/953.41
  6. Step 6: Final answer
    x = 800.59

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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.