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Finding the Fourth Proportional to 1,276.65, 1,914.37 and 497.01

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Solution

The fourth proportional to 1,276.65, 1,914.37 and 497.01 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.65 : 1,914.37 = 497.01 : x
  2. Step 2: Convert to fraction form
    1,276.65/1,914.37 = 497.01/x
  3. Step 3: Cross multiply
    1,276.65x = 1,914.37 × 497.01
  4. Step 4: Simplify right side
    1,276.65x = 951,461.03
  5. Step 5: Solve for x
    x = 951,461.03/1,276.65
  6. Step 6: Final answer
    x = 745.28

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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.