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Finding the Fourth Proportional to 790.14, 1,189.80 and 586.16

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Solution

The fourth proportional to 790.14, 1,189.80 and 586.16 is: 882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.14 : 1,189.80 = 586.16 : x
  2. Step 2: Convert to fraction form
    790.14/1,189.80 = 586.16/x
  3. Step 3: Cross multiply
    790.14x = 1,189.80 × 586.16
  4. Step 4: Simplify right side
    790.14x = 697,413.17
  5. Step 5: Solve for x
    x = 697,413.17/790.14
  6. Step 6: Final answer
    x = 882.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.