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Finding the Fourth Proportional to 1,423.04, 2,134.13 and 764.51

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Solution

The fourth proportional to 1,423.04, 2,134.13 and 764.51 is: 1,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.04 : 2,134.13 = 764.51 : x
  2. Step 2: Convert to fraction form
    1,423.04/2,134.13 = 764.51/x
  3. Step 3: Cross multiply
    1,423.04x = 2,134.13 × 764.51
  4. Step 4: Simplify right side
    1,423.04x = 1,631,549.23
  5. Step 5: Solve for x
    x = 1,631,549.23/1,423.04
  6. Step 6: Final answer
    x = 1,146.53

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