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Finding the Fourth Proportional to 1,114.98, 1,538.54 and 643.03

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Solution

The fourth proportional to 1,114.98, 1,538.54 and 643.03 is: 887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.98 : 1,538.54 = 643.03 : x
  2. Step 2: Convert to fraction form
    1,114.98/1,538.54 = 643.03/x
  3. Step 3: Cross multiply
    1,114.98x = 1,538.54 × 643.03
  4. Step 4: Simplify right side
    1,114.98x = 989,328.50
  5. Step 5: Solve for x
    x = 989,328.50/1,114.98
  6. Step 6: Final answer
    x = 887.31

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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.