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Finding the Fourth Proportional to 666.36, 1,000.32 and 434.64

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Solution

The fourth proportional to 666.36, 1,000.32 and 434.64 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.36 : 1,000.32 = 434.64 : x
  2. Step 2: Convert to fraction form
    666.36/1,000.32 = 434.64/x
  3. Step 3: Cross multiply
    666.36x = 1,000.32 × 434.64
  4. Step 4: Simplify right side
    666.36x = 434,779.08
  5. Step 5: Solve for x
    x = 434,779.08/666.36
  6. Step 6: Final answer
    x = 652.47

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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.