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Finding the Fourth Proportional to 1,044.30, 1,566.64 and 428.45

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Solution

The fourth proportional to 1,044.30, 1,566.64 and 428.45 is: 642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.30 : 1,566.64 = 428.45 : x
  2. Step 2: Convert to fraction form
    1,044.30/1,566.64 = 428.45/x
  3. Step 3: Cross multiply
    1,044.30x = 1,566.64 × 428.45
  4. Step 4: Simplify right side
    1,044.30x = 671,224.02
  5. Step 5: Solve for x
    x = 671,224.02/1,044.30
  6. Step 6: Final answer
    x = 642.75

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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.