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Finding the Fourth Proportional to 1,113.70, 1,670.58 and 383.26

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Solution

The fourth proportional to 1,113.70, 1,670.58 and 383.26 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.70 : 1,670.58 = 383.26 : x
  2. Step 2: Convert to fraction form
    1,113.70/1,670.58 = 383.26/x
  3. Step 3: Cross multiply
    1,113.70x = 1,670.58 × 383.26
  4. Step 4: Simplify right side
    1,113.70x = 640,266.49
  5. Step 5: Solve for x
    x = 640,266.49/1,113.70
  6. Step 6: Final answer
    x = 574.90

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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.