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Finding the Fourth Proportional to 1,021.50, 1,409.70 and 555.78

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Solution

The fourth proportional to 1,021.50, 1,409.70 and 555.78 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.50 : 1,409.70 = 555.78 : x
  2. Step 2: Convert to fraction form
    1,021.50/1,409.70 = 555.78/x
  3. Step 3: Cross multiply
    1,021.50x = 1,409.70 × 555.78
  4. Step 4: Simplify right side
    1,021.50x = 783,483.07
  5. Step 5: Solve for x
    x = 783,483.07/1,021.50
  6. Step 6: Final answer
    x = 766.99

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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.