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Finding the Fourth Proportional to 1,117.05, 1,673.96 and 630.24

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Solution

The fourth proportional to 1,117.05, 1,673.96 and 630.24 is: 944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.05 : 1,673.96 = 630.24 : x
  2. Step 2: Convert to fraction form
    1,117.05/1,673.96 = 630.24/x
  3. Step 3: Cross multiply
    1,117.05x = 1,673.96 × 630.24
  4. Step 4: Simplify right side
    1,117.05x = 1,054,993.40
  5. Step 5: Solve for x
    x = 1,054,993.40/1,117.05
  6. Step 6: Final answer
    x = 944.45

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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.