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Finding the Fourth Proportional to 595.96, 823.14 and 503.02

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Solution

The fourth proportional to 595.96, 823.14 and 503.02 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 823.14 = 503.02 : x
  2. Step 2: Convert to fraction form
    595.96/823.14 = 503.02/x
  3. Step 3: Cross multiply
    595.96x = 823.14 × 503.02
  4. Step 4: Simplify right side
    595.96x = 414,055.88
  5. Step 5: Solve for x
    x = 414,055.88/595.96
  6. Step 6: Final answer
    x = 694.77

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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.