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Finding the Fourth Proportional to 1,187.36, 1,638.42 and 663.35

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Solution

The fourth proportional to 1,187.36, 1,638.42 and 663.35 is: 915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.36 : 1,638.42 = 663.35 : x
  2. Step 2: Convert to fraction form
    1,187.36/1,638.42 = 663.35/x
  3. Step 3: Cross multiply
    1,187.36x = 1,638.42 × 663.35
  4. Step 4: Simplify right side
    1,187.36x = 1,086,837.71
  5. Step 5: Solve for x
    x = 1,086,837.71/1,187.36
  6. Step 6: Final answer
    x = 915.34

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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.