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Finding the Fourth Proportional to 693.70, 1,041.63 and 369.70

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Solution

The fourth proportional to 693.70, 1,041.63 and 369.70 is: 555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.70 : 1,041.63 = 369.70 : x
  2. Step 2: Convert to fraction form
    693.70/1,041.63 = 369.70/x
  3. Step 3: Cross multiply
    693.70x = 1,041.63 × 369.70
  4. Step 4: Simplify right side
    693.70x = 385,090.61
  5. Step 5: Solve for x
    x = 385,090.61/693.70
  6. Step 6: Final answer
    x = 555.13

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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.