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Finding the Fourth Proportional to 693.06, 954.24 and 587.93

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Solution

The fourth proportional to 693.06, 954.24 and 587.93 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 954.24 = 587.93 : x
  2. Step 2: Convert to fraction form
    693.06/954.24 = 587.93/x
  3. Step 3: Cross multiply
    693.06x = 954.24 × 587.93
  4. Step 4: Simplify right side
    693.06x = 561,026.32
  5. Step 5: Solve for x
    x = 561,026.32/693.06
  6. Step 6: Final answer
    x = 809.49

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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.