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Finding the Fourth Proportional to 687.80, 1,030.49 and 572.98

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Solution

The fourth proportional to 687.80, 1,030.49 and 572.98 is: 858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.80 : 1,030.49 = 572.98 : x
  2. Step 2: Convert to fraction form
    687.80/1,030.49 = 572.98/x
  3. Step 3: Cross multiply
    687.80x = 1,030.49 × 572.98
  4. Step 4: Simplify right side
    687.80x = 590,450.16
  5. Step 5: Solve for x
    x = 590,450.16/687.80
  6. Step 6: Final answer
    x = 858.46

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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.