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Finding the Fourth Proportional to 1,060.14, 1,590.90 and 376.14

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Solution

The fourth proportional to 1,060.14, 1,590.90 and 376.14 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.14 : 1,590.90 = 376.14 : x
  2. Step 2: Convert to fraction form
    1,060.14/1,590.90 = 376.14/x
  3. Step 3: Cross multiply
    1,060.14x = 1,590.90 × 376.14
  4. Step 4: Simplify right side
    1,060.14x = 598,401.13
  5. Step 5: Solve for x
    x = 598,401.13/1,060.14
  6. Step 6: Final answer
    x = 564.45

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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.