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Finding the Fourth Proportional to 945.64, 1,416.03 and 534.16

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Solution

The fourth proportional to 945.64, 1,416.03 and 534.16 is: 799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.64 : 1,416.03 = 534.16 : x
  2. Step 2: Convert to fraction form
    945.64/1,416.03 = 534.16/x
  3. Step 3: Cross multiply
    945.64x = 1,416.03 × 534.16
  4. Step 4: Simplify right side
    945.64x = 756,386.58
  5. Step 5: Solve for x
    x = 756,386.58/945.64
  6. Step 6: Final answer
    x = 799.87

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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.