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Finding the Fourth Proportional to 1,066.93, 1,600.44 and 373.67

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Solution

The fourth proportional to 1,066.93, 1,600.44 and 373.67 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.93 : 1,600.44 = 373.67 : x
  2. Step 2: Convert to fraction form
    1,066.93/1,600.44 = 373.67/x
  3. Step 3: Cross multiply
    1,066.93x = 1,600.44 × 373.67
  4. Step 4: Simplify right side
    1,066.93x = 598,036.41
  5. Step 5: Solve for x
    x = 598,036.41/1,066.93
  6. Step 6: Final answer
    x = 560.52

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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.