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Finding the Fourth Proportional to 1,111.42, 1,533.81 and 645.58

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Solution

The fourth proportional to 1,111.42, 1,533.81 and 645.58 is: 890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.42 : 1,533.81 = 645.58 : x
  2. Step 2: Convert to fraction form
    1,111.42/1,533.81 = 645.58/x
  3. Step 3: Cross multiply
    1,111.42x = 1,533.81 × 645.58
  4. Step 4: Simplify right side
    1,111.42x = 990,197.06
  5. Step 5: Solve for x
    x = 990,197.06/1,111.42
  6. Step 6: Final answer
    x = 890.93

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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.