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Finding the Fourth Proportional to 1,117.52, 1,673.82 and 630.28

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Solution

The fourth proportional to 1,117.52, 1,673.82 and 630.28 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.52 : 1,673.82 = 630.28 : x
  2. Step 2: Convert to fraction form
    1,117.52/1,673.82 = 630.28/x
  3. Step 3: Cross multiply
    1,117.52x = 1,673.82 × 630.28
  4. Step 4: Simplify right side
    1,117.52x = 1,054,975.27
  5. Step 5: Solve for x
    x = 1,054,975.27/1,117.52
  6. Step 6: Final answer
    x = 944.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.