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Finding the Fourth Proportional to 1,401.99, 1,934.70 and 772.53

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Solution

The fourth proportional to 1,401.99, 1,934.70 and 772.53 is: 1,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.99 : 1,934.70 = 772.53 : x
  2. Step 2: Convert to fraction form
    1,401.99/1,934.70 = 772.53/x
  3. Step 3: Cross multiply
    1,401.99x = 1,934.70 × 772.53
  4. Step 4: Simplify right side
    1,401.99x = 1,494,613.79
  5. Step 5: Solve for x
    x = 1,494,613.79/1,401.99
  6. Step 6: Final answer
    x = 1,066.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.