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Finding the Fourth Proportional to 1,504.59, 2,074.98 and 945.11

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Solution

The fourth proportional to 1,504.59, 2,074.98 and 945.11 is: 1,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.59 : 2,074.98 = 945.11 : x
  2. Step 2: Convert to fraction form
    1,504.59/2,074.98 = 945.11/x
  3. Step 3: Cross multiply
    1,504.59x = 2,074.98 × 945.11
  4. Step 4: Simplify right side
    1,504.59x = 1,961,069.25
  5. Step 5: Solve for x
    x = 1,961,069.25/1,504.59
  6. Step 6: Final answer
    x = 1,303.40

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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.