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Finding the Fourth Proportional to 1,289.71, 1,934.84 and 365.55

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Solution

The fourth proportional to 1,289.71, 1,934.84 and 365.55 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.71 : 1,934.84 = 365.55 : x
  2. Step 2: Convert to fraction form
    1,289.71/1,934.84 = 365.55/x
  3. Step 3: Cross multiply
    1,289.71x = 1,934.84 × 365.55
  4. Step 4: Simplify right side
    1,289.71x = 707,280.76
  5. Step 5: Solve for x
    x = 707,280.76/1,289.71
  6. Step 6: Final answer
    x = 548.40

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1.5x scale

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.