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Finding the Fourth Proportional to 783.84, 1,174.94 and 510.12

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Solution

The fourth proportional to 783.84, 1,174.94 and 510.12 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,174.94 = 510.12 : x
  2. Step 2: Convert to fraction form
    783.84/1,174.94 = 510.12/x
  3. Step 3: Cross multiply
    783.84x = 1,174.94 × 510.12
  4. Step 4: Simplify right side
    783.84x = 599,360.39
  5. Step 5: Solve for x
    x = 599,360.39/783.84
  6. Step 6: Final answer
    x = 764.65

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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.