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Finding the Fourth Proportional to 1,100.64, 1,518.89 and 603.32

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Solution

The fourth proportional to 1,100.64, 1,518.89 and 603.32 is: 832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.64 : 1,518.89 = 603.32 : x
  2. Step 2: Convert to fraction form
    1,100.64/1,518.89 = 603.32/x
  3. Step 3: Cross multiply
    1,100.64x = 1,518.89 × 603.32
  4. Step 4: Simplify right side
    1,100.64x = 916,376.71
  5. Step 5: Solve for x
    x = 916,376.71/1,100.64
  6. Step 6: Final answer
    x = 832.59

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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.