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Finding the Fourth Proportional to 1,271.76, 1,907.64 and 438.81

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Solution

The fourth proportional to 1,271.76, 1,907.64 and 438.81 is: 658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.76 : 1,907.64 = 438.81 : x
  2. Step 2: Convert to fraction form
    1,271.76/1,907.64 = 438.81/x
  3. Step 3: Cross multiply
    1,271.76x = 1,907.64 × 438.81
  4. Step 4: Simplify right side
    1,271.76x = 837,091.51
  5. Step 5: Solve for x
    x = 837,091.51/1,271.76
  6. Step 6: Final answer
    x = 658.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.