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Finding the Fourth Proportional to 924.75, 1,386.98 and 404.66

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Solution

The fourth proportional to 924.75, 1,386.98 and 404.66 is: 606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,386.98 = 404.66 : x
  2. Step 2: Convert to fraction form
    924.75/1,386.98 = 404.66/x
  3. Step 3: Cross multiply
    924.75x = 1,386.98 × 404.66
  4. Step 4: Simplify right side
    924.75x = 561,246.37
  5. Step 5: Solve for x
    x = 561,246.37/924.75
  6. Step 6: Final answer
    x = 606.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.