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Finding the Fourth Proportional to 900.50, 1,242.70 and 590

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Solution

The fourth proportional to 900.50, 1,242.70 and 590 is: 814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.50 : 1,242.70 = 590 : x
  2. Step 2: Convert to fraction form
    900.50/1,242.70 = 590/x
  3. Step 3: Cross multiply
    900.50x = 1,242.70 × 590
  4. Step 4: Simplify right side
    900.50x = 733,193
  5. Step 5: Solve for x
    x = 733,193/900.50
  6. Step 6: Final answer
    x = 814.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.