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Finding the Fourth Proportional to 942.40, 1,413.90 and 597.88

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Solution

The fourth proportional to 942.40, 1,413.90 and 597.88 is: 897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.40 : 1,413.90 = 597.88 : x
  2. Step 2: Convert to fraction form
    942.40/1,413.90 = 597.88/x
  3. Step 3: Cross multiply
    942.40x = 1,413.90 × 597.88
  4. Step 4: Simplify right side
    942.40x = 845,342.53
  5. Step 5: Solve for x
    x = 845,342.53/942.40
  6. Step 6: Final answer
    x = 897.01

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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.