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Finding the Fourth Proportional to 607.74, 837.93 and 519.06

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Solution

The fourth proportional to 607.74, 837.93 and 519.06 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.74 : 837.93 = 519.06 : x
  2. Step 2: Convert to fraction form
    607.74/837.93 = 519.06/x
  3. Step 3: Cross multiply
    607.74x = 837.93 × 519.06
  4. Step 4: Simplify right side
    607.74x = 434,935.95
  5. Step 5: Solve for x
    x = 434,935.95/607.74
  6. Step 6: Final answer
    x = 715.66

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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.