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Finding the Fourth Proportional to 1,000.53, 1,501.91 and 415.95

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Solution

The fourth proportional to 1,000.53, 1,501.91 and 415.95 is: 624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.53 : 1,501.91 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,000.53/1,501.91 = 415.95/x
  3. Step 3: Cross multiply
    1,000.53x = 1,501.91 × 415.95
  4. Step 4: Simplify right side
    1,000.53x = 624,717.38
  5. Step 5: Solve for x
    x = 624,717.38/1,000.53
  6. Step 6: Final answer
    x = 624.39

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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.