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Finding the Fourth Proportional to 1,409.90, 1,945.64 and 780.46

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Solution

The fourth proportional to 1,409.90, 1,945.64 and 780.46 is: 1,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 1,945.64 = 780.46 : x
  2. Step 2: Convert to fraction form
    1,409.90/1,945.64 = 780.46/x
  3. Step 3: Cross multiply
    1,409.90x = 1,945.64 × 780.46
  4. Step 4: Simplify right side
    1,409.90x = 1,518,491.28
  5. Step 5: Solve for x
    x = 1,518,491.28/1,409.90
  6. Step 6: Final answer
    x = 1,077.02

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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.