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Finding the Fourth Proportional to 1,200.56, 1,800.84 and 460.40

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Solution

The fourth proportional to 1,200.56, 1,800.84 and 460.40 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.56 : 1,800.84 = 460.40 : x
  2. Step 2: Convert to fraction form
    1,200.56/1,800.84 = 460.40/x
  3. Step 3: Cross multiply
    1,200.56x = 1,800.84 × 460.40
  4. Step 4: Simplify right side
    1,200.56x = 829,106.74
  5. Step 5: Solve for x
    x = 829,106.74/1,200.56
  6. Step 6: Final answer
    x = 690.60

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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.