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Finding the Fourth Proportional to 1,285.37, 1,928.87 and 670.18

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Solution

The fourth proportional to 1,285.37, 1,928.87 and 670.18 is: 1,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.37 : 1,928.87 = 670.18 : x
  2. Step 2: Convert to fraction form
    1,285.37/1,928.87 = 670.18/x
  3. Step 3: Cross multiply
    1,285.37x = 1,928.87 × 670.18
  4. Step 4: Simplify right side
    1,285.37x = 1,292,677.10
  5. Step 5: Solve for x
    x = 1,292,677.10/1,285.37
  6. Step 6: Final answer
    x = 1,005.68

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1.5x scale

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.