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Finding the Fourth Proportional to 587.37, 875.94 and 540.12

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Solution

The fourth proportional to 587.37, 875.94 and 540.12 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.37 : 875.94 = 540.12 : x
  2. Step 2: Convert to fraction form
    587.37/875.94 = 540.12/x
  3. Step 3: Cross multiply
    587.37x = 875.94 × 540.12
  4. Step 4: Simplify right side
    587.37x = 473,112.71
  5. Step 5: Solve for x
    x = 473,112.71/587.37
  6. Step 6: Final answer
    x = 805.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.