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Finding the Fourth Proportional to 665.86, 992.92 and 619.70

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Solution

The fourth proportional to 665.86, 992.92 and 619.70 is: 924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 992.92 = 619.70 : x
  2. Step 2: Convert to fraction form
    665.86/992.92 = 619.70/x
  3. Step 3: Cross multiply
    665.86x = 992.92 × 619.70
  4. Step 4: Simplify right side
    665.86x = 615,312.52
  5. Step 5: Solve for x
    x = 615,312.52/665.86
  6. Step 6: Final answer
    x = 924.09

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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.