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Finding the Fourth Proportional to 943.58, 1,416.95 and 615.07

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Solution

The fourth proportional to 943.58, 1,416.95 and 615.07 is: 923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.58 : 1,416.95 = 615.07 : x
  2. Step 2: Convert to fraction form
    943.58/1,416.95 = 615.07/x
  3. Step 3: Cross multiply
    943.58x = 1,416.95 × 615.07
  4. Step 4: Simplify right side
    943.58x = 871,519.13
  5. Step 5: Solve for x
    x = 871,519.13/943.58
  6. Step 6: Final answer
    x = 923.64

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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.