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Finding the Fourth Proportional to 942.10, 1,413.15 and 456.10

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Solution

The fourth proportional to 942.10, 1,413.15 and 456.10 is: 684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 1,413.15 = 456.10 : x
  2. Step 2: Convert to fraction form
    942.10/1,413.15 = 456.10/x
  3. Step 3: Cross multiply
    942.10x = 1,413.15 × 456.10
  4. Step 4: Simplify right side
    942.10x = 644,537.72
  5. Step 5: Solve for x
    x = 644,537.72/942.10
  6. Step 6: Final answer
    x = 684.15

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Double scale
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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.