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Finding the Fourth Proportional to 1,061.04, 1,590.44 and 567.14

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Solution

The fourth proportional to 1,061.04, 1,590.44 and 567.14 is: 850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.04 : 1,590.44 = 567.14 : x
  2. Step 2: Convert to fraction form
    1,061.04/1,590.44 = 567.14/x
  3. Step 3: Cross multiply
    1,061.04x = 1,590.44 × 567.14
  4. Step 4: Simplify right side
    1,061.04x = 902,004.77
  5. Step 5: Solve for x
    x = 902,004.77/1,061.04
  6. Step 6: Final answer
    x = 850.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.