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Finding the Fourth Proportional to 926.72, 1,271.20 and 907.52

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Solution

The fourth proportional to 926.72, 1,271.20 and 907.52 is: 1,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.72 : 1,271.20 = 907.52 : x
  2. Step 2: Convert to fraction form
    926.72/1,271.20 = 907.52/x
  3. Step 3: Cross multiply
    926.72x = 1,271.20 × 907.52
  4. Step 4: Simplify right side
    926.72x = 1,153,639.42
  5. Step 5: Solve for x
    x = 1,153,639.42/926.72
  6. Step 6: Final answer
    x = 1,244.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.