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Finding the Fourth Proportional to 994.55, 1,491.98 and 507.33

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Solution

The fourth proportional to 994.55, 1,491.98 and 507.33 is: 761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.55 : 1,491.98 = 507.33 : x
  2. Step 2: Convert to fraction form
    994.55/1,491.98 = 507.33/x
  3. Step 3: Cross multiply
    994.55x = 1,491.98 × 507.33
  4. Step 4: Simplify right side
    994.55x = 756,929.27
  5. Step 5: Solve for x
    x = 756,929.27/994.55
  6. Step 6: Final answer
    x = 761.08

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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.