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Finding the Fourth Proportional to 1,033.68, 1,421.87 and 907.02

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Solution

The fourth proportional to 1,033.68, 1,421.87 and 907.02 is: 1,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.68 : 1,421.87 = 907.02 : x
  2. Step 2: Convert to fraction form
    1,033.68/1,421.87 = 907.02/x
  3. Step 3: Cross multiply
    1,033.68x = 1,421.87 × 907.02
  4. Step 4: Simplify right side
    1,033.68x = 1,289,664.53
  5. Step 5: Solve for x
    x = 1,289,664.53/1,033.68
  6. Step 6: Final answer
    x = 1,247.64

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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.