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Finding the Fourth Proportional to 1,356.12, 1,868.46 and 977.70

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Solution

The fourth proportional to 1,356.12, 1,868.46 and 977.70 is: 1,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 1,868.46 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,356.12/1,868.46 = 977.70/x
  3. Step 3: Cross multiply
    1,356.12x = 1,868.46 × 977.70
  4. Step 4: Simplify right side
    1,356.12x = 1,826,793.34
  5. Step 5: Solve for x
    x = 1,826,793.34/1,356.12
  6. Step 6: Final answer
    x = 1,347.07

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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.