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Finding the Fourth Proportional to 1,188.54, 1,783.01 and 458.06

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Solution

The fourth proportional to 1,188.54, 1,783.01 and 458.06 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.54 : 1,783.01 = 458.06 : x
  2. Step 2: Convert to fraction form
    1,188.54/1,783.01 = 458.06/x
  3. Step 3: Cross multiply
    1,188.54x = 1,783.01 × 458.06
  4. Step 4: Simplify right side
    1,188.54x = 816,717.79
  5. Step 5: Solve for x
    x = 816,717.79/1,188.54
  6. Step 6: Final answer
    x = 687.16

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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.