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Finding the Fourth Proportional to 753.84, 1,040.40 and 580.14

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Solution

The fourth proportional to 753.84, 1,040.40 and 580.14 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,040.40 = 580.14 : x
  2. Step 2: Convert to fraction form
    753.84/1,040.40 = 580.14/x
  3. Step 3: Cross multiply
    753.84x = 1,040.40 × 580.14
  4. Step 4: Simplify right side
    753.84x = 603,577.66
  5. Step 5: Solve for x
    x = 603,577.66/753.84
  6. Step 6: Final answer
    x = 800.67

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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.