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Finding the Fourth Proportional to 1,271.01, 1,907.24 and 686.01

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Solution

The fourth proportional to 1,271.01, 1,907.24 and 686.01 is: 1,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.01 : 1,907.24 = 686.01 : x
  2. Step 2: Convert to fraction form
    1,271.01/1,907.24 = 686.01/x
  3. Step 3: Cross multiply
    1,271.01x = 1,907.24 × 686.01
  4. Step 4: Simplify right side
    1,271.01x = 1,308,385.71
  5. Step 5: Solve for x
    x = 1,308,385.71/1,271.01
  6. Step 6: Final answer
    x = 1,029.41

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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.