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Finding the Fourth Proportional to 657, 986.01 and 580.11

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Solution

The fourth proportional to 657, 986.01 and 580.11 is: 870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 986.01 = 580.11 : x
  2. Step 2: Convert to fraction form
    657/986.01 = 580.11/x
  3. Step 3: Cross multiply
    657x = 986.01 × 580.11
  4. Step 4: Simplify right side
    657x = 571,994.26
  5. Step 5: Solve for x
    x = 571,994.26/657
  6. Step 6: Final answer
    x = 870.62

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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.