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Finding the Fourth Proportional to 687.83, 1,030.55 and 573.01

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Solution

The fourth proportional to 687.83, 1,030.55 and 573.01 is: 858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 1,030.55 = 573.01 : x
  2. Step 2: Convert to fraction form
    687.83/1,030.55 = 573.01/x
  3. Step 3: Cross multiply
    687.83x = 1,030.55 × 573.01
  4. Step 4: Simplify right side
    687.83x = 590,513.88
  5. Step 5: Solve for x
    x = 590,513.88/687.83
  6. Step 6: Final answer
    x = 858.52

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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.