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Finding the Fourth Proportional to 890.19, 1,333.53 and 524.07

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Solution

The fourth proportional to 890.19, 1,333.53 and 524.07 is: 785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.19 : 1,333.53 = 524.07 : x
  2. Step 2: Convert to fraction form
    890.19/1,333.53 = 524.07/x
  3. Step 3: Cross multiply
    890.19x = 1,333.53 × 524.07
  4. Step 4: Simplify right side
    890.19x = 698,863.07
  5. Step 5: Solve for x
    x = 698,863.07/890.19
  6. Step 6: Final answer
    x = 785.07

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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.