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Finding the Fourth Proportional to 1,045.16, 1,567.22 and 395.94

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Solution

The fourth proportional to 1,045.16, 1,567.22 and 395.94 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.16 : 1,567.22 = 395.94 : x
  2. Step 2: Convert to fraction form
    1,045.16/1,567.22 = 395.94/x
  3. Step 3: Cross multiply
    1,045.16x = 1,567.22 × 395.94
  4. Step 4: Simplify right side
    1,045.16x = 620,526.08
  5. Step 5: Solve for x
    x = 620,526.08/1,045.16
  6. Step 6: Final answer
    x = 593.72

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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.