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Finding the Fourth Proportional to 942.96, 1,413.36 and 510.48

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Solution

The fourth proportional to 942.96, 1,413.36 and 510.48 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.96 : 1,413.36 = 510.48 : x
  2. Step 2: Convert to fraction form
    942.96/1,413.36 = 510.48/x
  3. Step 3: Cross multiply
    942.96x = 1,413.36 × 510.48
  4. Step 4: Simplify right side
    942.96x = 721,492.01
  5. Step 5: Solve for x
    x = 721,492.01/942.96
  6. Step 6: Final answer
    x = 765.14

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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.