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Finding the Fourth Proportional to 1,263.14, 1,897.06 and 1,032.51

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Solution

The fourth proportional to 1,263.14, 1,897.06 and 1,032.51 is: 1,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.14 : 1,897.06 = 1,032.51 : x
  2. Step 2: Convert to fraction form
    1,263.14/1,897.06 = 1,032.51/x
  3. Step 3: Cross multiply
    1,263.14x = 1,897.06 × 1,032.51
  4. Step 4: Simplify right side
    1,263.14x = 1,958,730.84
  5. Step 5: Solve for x
    x = 1,958,730.84/1,263.14
  6. Step 6: Final answer
    x = 1,550.69

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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.