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Finding the Fourth Proportional to 1,045.40, 1,567.85 and 605.70

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Solution

The fourth proportional to 1,045.40, 1,567.85 and 605.70 is: 908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.40 : 1,567.85 = 605.70 : x
  2. Step 2: Convert to fraction form
    1,045.40/1,567.85 = 605.70/x
  3. Step 3: Cross multiply
    1,045.40x = 1,567.85 × 605.70
  4. Step 4: Simplify right side
    1,045.40x = 949,646.75
  5. Step 5: Solve for x
    x = 949,646.75/1,045.40
  6. Step 6: Final answer
    x = 908.41

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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.