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Finding the Fourth Proportional to 1,152.21, 1,725.61 and 565.38

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Solution

The fourth proportional to 1,152.21, 1,725.61 and 565.38 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.21 : 1,725.61 = 565.38 : x
  2. Step 2: Convert to fraction form
    1,152.21/1,725.61 = 565.38/x
  3. Step 3: Cross multiply
    1,152.21x = 1,725.61 × 565.38
  4. Step 4: Simplify right side
    1,152.21x = 975,623.97
  5. Step 5: Solve for x
    x = 975,623.97/1,152.21
  6. Step 6: Final answer
    x = 846.74

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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.