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Finding the Fourth Proportional to 657.23, 986.23 and 590.00

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Solution

The fourth proportional to 657.23, 986.23 and 590.00 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 986.23 = 590.00 : x
  2. Step 2: Convert to fraction form
    657.23/986.23 = 590.00/x
  3. Step 3: Cross multiply
    657.23x = 986.23 × 590.00
  4. Step 4: Simplify right side
    657.23x = 581,870.77
  5. Step 5: Solve for x
    x = 581,870.77/657.23
  6. Step 6: Final answer
    x = 885.34

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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.