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Finding the Fourth Proportional to 1,030.12, 1,544.01 and 445.60

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Solution

The fourth proportional to 1,030.12, 1,544.01 and 445.60 is: 667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.12 : 1,544.01 = 445.60 : x
  2. Step 2: Convert to fraction form
    1,030.12/1,544.01 = 445.60/x
  3. Step 3: Cross multiply
    1,030.12x = 1,544.01 × 445.60
  4. Step 4: Simplify right side
    1,030.12x = 688,010.86
  5. Step 5: Solve for x
    x = 688,010.86/1,030.12
  6. Step 6: Final answer
    x = 667.89

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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.