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Finding the Fourth Proportional to 831.84, 1,246.28 and 507.04

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Solution

The fourth proportional to 831.84, 1,246.28 and 507.04 is: 759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,246.28 = 507.04 : x
  2. Step 2: Convert to fraction form
    831.84/1,246.28 = 507.04/x
  3. Step 3: Cross multiply
    831.84x = 1,246.28 × 507.04
  4. Step 4: Simplify right side
    831.84x = 631,913.81
  5. Step 5: Solve for x
    x = 631,913.81/831.84
  6. Step 6: Final answer
    x = 759.66

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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.