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Finding the Fourth Proportional to 688.40, 1,030.84 and 573.20

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Solution

The fourth proportional to 688.40, 1,030.84 and 573.20 is: 858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.40 : 1,030.84 = 573.20 : x
  2. Step 2: Convert to fraction form
    688.40/1,030.84 = 573.20/x
  3. Step 3: Cross multiply
    688.40x = 1,030.84 × 573.20
  4. Step 4: Simplify right side
    688.40x = 590,877.49
  5. Step 5: Solve for x
    x = 590,877.49/688.40
  6. Step 6: Final answer
    x = 858.33

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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.