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Finding the Fourth Proportional to 1,189.42, 1,641.52 and 665.45

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Solution

The fourth proportional to 1,189.42, 1,641.52 and 665.45 is: 918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.42 : 1,641.52 = 665.45 : x
  2. Step 2: Convert to fraction form
    1,189.42/1,641.52 = 665.45/x
  3. Step 3: Cross multiply
    1,189.42x = 1,641.52 × 665.45
  4. Step 4: Simplify right side
    1,189.42x = 1,092,349.48
  5. Step 5: Solve for x
    x = 1,092,349.48/1,189.42
  6. Step 6: Final answer
    x = 918.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.