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Finding the Fourth Proportional to 1,000.78, 1,501.10 and 415.64

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Solution

The fourth proportional to 1,000.78, 1,501.10 and 415.64 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.78 : 1,501.10 = 415.64 : x
  2. Step 2: Convert to fraction form
    1,000.78/1,501.10 = 415.64/x
  3. Step 3: Cross multiply
    1,000.78x = 1,501.10 × 415.64
  4. Step 4: Simplify right side
    1,000.78x = 623,917.20
  5. Step 5: Solve for x
    x = 623,917.20/1,000.78
  6. Step 6: Final answer
    x = 623.43

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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.