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Finding the Fourth Proportional to 1,180.04, 1,629.64 and 972.28

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Solution

The fourth proportional to 1,180.04, 1,629.64 and 972.28 is: 1,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.04 : 1,629.64 = 972.28 : x
  2. Step 2: Convert to fraction form
    1,180.04/1,629.64 = 972.28/x
  3. Step 3: Cross multiply
    1,180.04x = 1,629.64 × 972.28
  4. Step 4: Simplify right side
    1,180.04x = 1,584,466.38
  5. Step 5: Solve for x
    x = 1,584,466.38/1,180.04
  6. Step 6: Final answer
    x = 1,342.72

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Double scale
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1.5x scale

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.