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Finding the Fourth Proportional to 1,172.04, 1,614.14 and 973.74

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Solution

The fourth proportional to 1,172.04, 1,614.14 and 973.74 is: 1,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.04 : 1,614.14 = 973.74 : x
  2. Step 2: Convert to fraction form
    1,172.04/1,614.14 = 973.74/x
  3. Step 3: Cross multiply
    1,172.04x = 1,614.14 × 973.74
  4. Step 4: Simplify right side
    1,172.04x = 1,571,743.78
  5. Step 5: Solve for x
    x = 1,571,743.78/1,172.04
  6. Step 6: Final answer
    x = 1,341.04

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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.