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Finding the Fourth Proportional to 1,124.78, 1,688.07 and 638.16

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Solution

The fourth proportional to 1,124.78, 1,688.07 and 638.16 is: 957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.78 : 1,688.07 = 638.16 : x
  2. Step 2: Convert to fraction form
    1,124.78/1,688.07 = 638.16/x
  3. Step 3: Cross multiply
    1,124.78x = 1,688.07 × 638.16
  4. Step 4: Simplify right side
    1,124.78x = 1,077,258.75
  5. Step 5: Solve for x
    x = 1,077,258.75/1,124.78
  6. Step 6: Final answer
    x = 957.75

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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.