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Finding the Fourth Proportional to 1,062.72, 1,590.67 and 567.89

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Solution

The fourth proportional to 1,062.72, 1,590.67 and 567.89 is: 850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.72 : 1,590.67 = 567.89 : x
  2. Step 2: Convert to fraction form
    1,062.72/1,590.67 = 567.89/x
  3. Step 3: Cross multiply
    1,062.72x = 1,590.67 × 567.89
  4. Step 4: Simplify right side
    1,062.72x = 903,325.59
  5. Step 5: Solve for x
    x = 903,325.59/1,062.72
  6. Step 6: Final answer
    x = 850.01

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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.