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Finding the Fourth Proportional to 1,021.37, 1,529.64 and 655.07

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Solution

The fourth proportional to 1,021.37, 1,529.64 and 655.07 is: 981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.37 : 1,529.64 = 655.07 : x
  2. Step 2: Convert to fraction form
    1,021.37/1,529.64 = 655.07/x
  3. Step 3: Cross multiply
    1,021.37x = 1,529.64 × 655.07
  4. Step 4: Simplify right side
    1,021.37x = 1,002,013.63
  5. Step 5: Solve for x
    x = 1,002,013.63/1,021.37
  6. Step 6: Final answer
    x = 981.05

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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.