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Finding the Fourth Proportional to 1,021.76, 1,409.98 and 556.01

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Solution

The fourth proportional to 1,021.76, 1,409.98 and 556.01 is: 767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.76 : 1,409.98 = 556.01 : x
  2. Step 2: Convert to fraction form
    1,021.76/1,409.98 = 556.01/x
  3. Step 3: Cross multiply
    1,021.76x = 1,409.98 × 556.01
  4. Step 4: Simplify right side
    1,021.76x = 783,962.98
  5. Step 5: Solve for x
    x = 783,962.98/1,021.76
  6. Step 6: Final answer
    x = 767.27

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