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Finding the Fourth Proportional to 1,021.64, 1,409.63 and 602.06

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Solution

The fourth proportional to 1,021.64, 1,409.63 and 602.06 is: 830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.64 : 1,409.63 = 602.06 : x
  2. Step 2: Convert to fraction form
    1,021.64/1,409.63 = 602.06/x
  3. Step 3: Cross multiply
    1,021.64x = 1,409.63 × 602.06
  4. Step 4: Simplify right side
    1,021.64x = 848,682.35
  5. Step 5: Solve for x
    x = 848,682.35/1,021.64
  6. Step 6: Final answer
    x = 830.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.