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Finding the Fourth Proportional to 1,045.00, 1,566.14 and 427.98

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Solution

The fourth proportional to 1,045.00, 1,566.14 and 427.98 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.00 : 1,566.14 = 427.98 : x
  2. Step 2: Convert to fraction form
    1,045.00/1,566.14 = 427.98/x
  3. Step 3: Cross multiply
    1,045.00x = 1,566.14 × 427.98
  4. Step 4: Simplify right side
    1,045.00x = 670,280.33
  5. Step 5: Solve for x
    x = 670,280.33/1,045.00
  6. Step 6: Final answer
    x = 641.42

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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.