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Finding the Fourth Proportional to 1,393.80, 2,090.70 and 977.20

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Solution

The fourth proportional to 1,393.80, 2,090.70 and 977.20 is: 1,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.80 : 2,090.70 = 977.20 : x
  2. Step 2: Convert to fraction form
    1,393.80/2,090.70 = 977.20/x
  3. Step 3: Cross multiply
    1,393.80x = 2,090.70 × 977.20
  4. Step 4: Simplify right side
    1,393.80x = 2,043,032.04
  5. Step 5: Solve for x
    x = 2,043,032.04/1,393.80
  6. Step 6: Final answer
    x = 1,465.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.