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Finding the Fourth Proportional to 1,193.83, 1,647.10 and 972.39

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Solution

The fourth proportional to 1,193.83, 1,647.10 and 972.39 is: 1,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.83 : 1,647.10 = 972.39 : x
  2. Step 2: Convert to fraction form
    1,193.83/1,647.10 = 972.39/x
  3. Step 3: Cross multiply
    1,193.83x = 1,647.10 × 972.39
  4. Step 4: Simplify right side
    1,193.83x = 1,601,623.57
  5. Step 5: Solve for x
    x = 1,601,623.57/1,193.83
  6. Step 6: Final answer
    x = 1,341.58

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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.