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Finding the Fourth Proportional to 561.21, 840.93 and 503.12

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Solution

The fourth proportional to 561.21, 840.93 and 503.12 is: 753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.21 : 840.93 = 503.12 : x
  2. Step 2: Convert to fraction form
    561.21/840.93 = 503.12/x
  3. Step 3: Cross multiply
    561.21x = 840.93 × 503.12
  4. Step 4: Simplify right side
    561.21x = 423,084.50
  5. Step 5: Solve for x
    x = 423,084.50/561.21
  6. Step 6: Final answer
    x = 753.88

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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.