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Finding the Fourth Proportional to 590.81, 886.71 and 522.50

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Solution

The fourth proportional to 590.81, 886.71 and 522.50 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.81 : 886.71 = 522.50 : x
  2. Step 2: Convert to fraction form
    590.81/886.71 = 522.50/x
  3. Step 3: Cross multiply
    590.81x = 886.71 × 522.50
  4. Step 4: Simplify right side
    590.81x = 463,305.98
  5. Step 5: Solve for x
    x = 463,305.98/590.81
  6. Step 6: Final answer
    x = 784.19

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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.