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Finding the Fourth Proportional to 601.46, 907.54 and 601.46

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Solution

The fourth proportional to 601.46, 907.54 and 601.46 is: 907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 907.54 = 601.46 : x
  2. Step 2: Convert to fraction form
    601.46/907.54 = 601.46/x
  3. Step 3: Cross multiply
    601.46x = 907.54 × 601.46
  4. Step 4: Simplify right side
    601.46x = 545,849.01
  5. Step 5: Solve for x
    x = 545,849.01/601.46
  6. Step 6: Final answer
    x = 907.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.