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Finding the Fourth Proportional to 964.03, 1,445.50 and 415.93

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Solution

The fourth proportional to 964.03, 1,445.50 and 415.93 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.03 : 1,445.50 = 415.93 : x
  2. Step 2: Convert to fraction form
    964.03/1,445.50 = 415.93/x
  3. Step 3: Cross multiply
    964.03x = 1,445.50 × 415.93
  4. Step 4: Simplify right side
    964.03x = 601,226.82
  5. Step 5: Solve for x
    x = 601,226.82/964.03
  6. Step 6: Final answer
    x = 623.66

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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.