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Finding the Fourth Proportional to 1,281.48, 1,921.90 and 501.20

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Solution

The fourth proportional to 1,281.48, 1,921.90 and 501.20 is: 751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.48 : 1,921.90 = 501.20 : x
  2. Step 2: Convert to fraction form
    1,281.48/1,921.90 = 501.20/x
  3. Step 3: Cross multiply
    1,281.48x = 1,921.90 × 501.20
  4. Step 4: Simplify right side
    1,281.48x = 963,256.28
  5. Step 5: Solve for x
    x = 963,256.28/1,281.48
  6. Step 6: Final answer
    x = 751.67

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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.