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Finding the Fourth Proportional to 522.34, 781.80 and 503.32

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Solution

The fourth proportional to 522.34, 781.80 and 503.32 is: 753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 781.80 = 503.32 : x
  2. Step 2: Convert to fraction form
    522.34/781.80 = 503.32/x
  3. Step 3: Cross multiply
    522.34x = 781.80 × 503.32
  4. Step 4: Simplify right side
    522.34x = 393,495.58
  5. Step 5: Solve for x
    x = 393,495.58/522.34
  6. Step 6: Final answer
    x = 753.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.