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Finding the Fourth Proportional to 1,523.98, 2,285.62 and 907.86

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Solution

The fourth proportional to 1,523.98, 2,285.62 and 907.86 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.98 : 2,285.62 = 907.86 : x
  2. Step 2: Convert to fraction form
    1,523.98/2,285.62 = 907.86/x
  3. Step 3: Cross multiply
    1,523.98x = 2,285.62 × 907.86
  4. Step 4: Simplify right side
    1,523.98x = 2,075,011.55
  5. Step 5: Solve for x
    x = 2,075,011.55/1,523.98
  6. Step 6: Final answer
    x = 1,361.58

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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.