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Finding the Fourth Proportional to 1,172.08, 1,616 and 972.88

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Solution

The fourth proportional to 1,172.08, 1,616 and 972.88 is: 1,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.08 : 1,616 = 972.88 : x
  2. Step 2: Convert to fraction form
    1,172.08/1,616 = 972.88/x
  3. Step 3: Cross multiply
    1,172.08x = 1,616 × 972.88
  4. Step 4: Simplify right side
    1,172.08x = 1,572,174.08
  5. Step 5: Solve for x
    x = 1,572,174.08/1,172.08
  6. Step 6: Final answer
    x = 1,341.35

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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.