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Finding the Fourth Proportional to 890.68, 1,228.98 and 580

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Solution

The fourth proportional to 890.68, 1,228.98 and 580 is: 800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.68 : 1,228.98 = 580 : x
  2. Step 2: Convert to fraction form
    890.68/1,228.98 = 580/x
  3. Step 3: Cross multiply
    890.68x = 1,228.98 × 580
  4. Step 4: Simplify right side
    890.68x = 712,808.40
  5. Step 5: Solve for x
    x = 712,808.40/890.68
  6. Step 6: Final answer
    x = 800.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.