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Finding the Fourth Proportional to 1,281.10, 1,921.90 and 501.07

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Solution

The fourth proportional to 1,281.10, 1,921.90 and 501.07 is: 751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.10 : 1,921.90 = 501.07 : x
  2. Step 2: Convert to fraction form
    1,281.10/1,921.90 = 501.07/x
  3. Step 3: Cross multiply
    1,281.10x = 1,921.90 × 501.07
  4. Step 4: Simplify right side
    1,281.10x = 963,003.93
  5. Step 5: Solve for x
    x = 963,003.93/1,281.10
  6. Step 6: Final answer
    x = 751.70

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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.