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Finding the Fourth Proportional to 1,031.64, 1,548.06 and 621.80

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Solution

The fourth proportional to 1,031.64, 1,548.06 and 621.80 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.64 : 1,548.06 = 621.80 : x
  2. Step 2: Convert to fraction form
    1,031.64/1,548.06 = 621.80/x
  3. Step 3: Cross multiply
    1,031.64x = 1,548.06 × 621.80
  4. Step 4: Simplify right side
    1,031.64x = 962,583.71
  5. Step 5: Solve for x
    x = 962,583.71/1,031.64
  6. Step 6: Final answer
    x = 933.06

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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.