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Finding the Fourth Proportional to 1,313.87, 1,969.55 and 924.77

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Solution

The fourth proportional to 1,313.87, 1,969.55 and 924.77 is: 1,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.87 : 1,969.55 = 924.77 : x
  2. Step 2: Convert to fraction form
    1,313.87/1,969.55 = 924.77/x
  3. Step 3: Cross multiply
    1,313.87x = 1,969.55 × 924.77
  4. Step 4: Simplify right side
    1,313.87x = 1,821,366.28
  5. Step 5: Solve for x
    x = 1,821,366.28/1,313.87
  6. Step 6: Final answer
    x = 1,386.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.