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Finding the Fourth Proportional to 1,412.93, 1,948.07 and 907.89

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Solution

The fourth proportional to 1,412.93, 1,948.07 and 907.89 is: 1,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.93 : 1,948.07 = 907.89 : x
  2. Step 2: Convert to fraction form
    1,412.93/1,948.07 = 907.89/x
  3. Step 3: Cross multiply
    1,412.93x = 1,948.07 × 907.89
  4. Step 4: Simplify right side
    1,412.93x = 1,768,635.54
  5. Step 5: Solve for x
    x = 1,768,635.54/1,412.93
  6. Step 6: Final answer
    x = 1,251.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.