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Finding the Fourth Proportional to 1,114.69, 1,670.85 and 594.37

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Solution

The fourth proportional to 1,114.69, 1,670.85 and 594.37 is: 890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.69 : 1,670.85 = 594.37 : x
  2. Step 2: Convert to fraction form
    1,114.69/1,670.85 = 594.37/x
  3. Step 3: Cross multiply
    1,114.69x = 1,670.85 × 594.37
  4. Step 4: Simplify right side
    1,114.69x = 993,103.11
  5. Step 5: Solve for x
    x = 993,103.11/1,114.69
  6. Step 6: Final answer
    x = 890.92

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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.