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Finding the Fourth Proportional to 1,289.84, 1,934.16 and 468.08

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Solution

The fourth proportional to 1,289.84, 1,934.16 and 468.08 is: 701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.84 : 1,934.16 = 468.08 : x
  2. Step 2: Convert to fraction form
    1,289.84/1,934.16 = 468.08/x
  3. Step 3: Cross multiply
    1,289.84x = 1,934.16 × 468.08
  4. Step 4: Simplify right side
    1,289.84x = 905,341.61
  5. Step 5: Solve for x
    x = 905,341.61/1,289.84
  6. Step 6: Final answer
    x = 701.90

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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.