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Finding the Fourth Proportional to 790.02, 1,189.62 and 586.03

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Solution

The fourth proportional to 790.02, 1,189.62 and 586.03 is: 882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,189.62 = 586.03 : x
  2. Step 2: Convert to fraction form
    790.02/1,189.62 = 586.03/x
  3. Step 3: Cross multiply
    790.02x = 1,189.62 × 586.03
  4. Step 4: Simplify right side
    790.02x = 697,151.54
  5. Step 5: Solve for x
    x = 697,151.54/790.02
  6. Step 6: Final answer
    x = 882.45

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