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Finding the Fourth Proportional to 942.87, 1,413.47 and 595.95

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Solution

The fourth proportional to 942.87, 1,413.47 and 595.95 is: 893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.87 : 1,413.47 = 595.95 : x
  2. Step 2: Convert to fraction form
    942.87/1,413.47 = 595.95/x
  3. Step 3: Cross multiply
    942.87x = 1,413.47 × 595.95
  4. Step 4: Simplify right side
    942.87x = 842,354.47
  5. Step 5: Solve for x
    x = 842,354.47/942.87
  6. Step 6: Final answer
    x = 893.39

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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.