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Finding the Fourth Proportional to 751.89, 1,129.97 and 510.10

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Solution

The fourth proportional to 751.89, 1,129.97 and 510.10 is: 766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.89 : 1,129.97 = 510.10 : x
  2. Step 2: Convert to fraction form
    751.89/1,129.97 = 510.10/x
  3. Step 3: Cross multiply
    751.89x = 1,129.97 × 510.10
  4. Step 4: Simplify right side
    751.89x = 576,397.70
  5. Step 5: Solve for x
    x = 576,397.70/751.89
  6. Step 6: Final answer
    x = 766.60

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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.