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Finding the Fourth Proportional to 1,281.60, 1,921.05 and 501.30

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Solution

The fourth proportional to 1,281.60, 1,921.05 and 501.30 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.60 : 1,921.05 = 501.30 : x
  2. Step 2: Convert to fraction form
    1,281.60/1,921.05 = 501.30/x
  3. Step 3: Cross multiply
    1,281.60x = 1,921.05 × 501.30
  4. Step 4: Simplify right side
    1,281.60x = 963,022.37
  5. Step 5: Solve for x
    x = 963,022.37/1,281.60
  6. Step 6: Final answer
    x = 751.42

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