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Finding the Fourth Proportional to 1,004.66, 1,497.14 and 971.60

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Solution

The fourth proportional to 1,004.66, 1,497.14 and 971.60 is: 1,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.66 : 1,497.14 = 971.60 : x
  2. Step 2: Convert to fraction form
    1,004.66/1,497.14 = 971.60/x
  3. Step 3: Cross multiply
    1,004.66x = 1,497.14 × 971.60
  4. Step 4: Simplify right side
    1,004.66x = 1,454,621.22
  5. Step 5: Solve for x
    x = 1,454,621.22/1,004.66
  6. Step 6: Final answer
    x = 1,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.