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Finding the Fourth Proportional to 1,409.50, 1,945.08 and 788.50

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Solution

The fourth proportional to 1,409.50, 1,945.08 and 788.50 is: 1,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.50 : 1,945.08 = 788.50 : x
  2. Step 2: Convert to fraction form
    1,409.50/1,945.08 = 788.50/x
  3. Step 3: Cross multiply
    1,409.50x = 1,945.08 × 788.50
  4. Step 4: Simplify right side
    1,409.50x = 1,533,698.01
  5. Step 5: Solve for x
    x = 1,533,698.01/1,409.50
  6. Step 6: Final answer
    x = 1,088.11

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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.