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Finding the Fourth Proportional to 666.64, 917.32 and 646.60

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Solution

The fourth proportional to 666.64, 917.32 and 646.60 is: 889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 917.32 = 646.60 : x
  2. Step 2: Convert to fraction form
    666.64/917.32 = 646.60/x
  3. Step 3: Cross multiply
    666.64x = 917.32 × 646.60
  4. Step 4: Simplify right side
    666.64x = 593,139.11
  5. Step 5: Solve for x
    x = 593,139.11/666.64
  6. Step 6: Final answer
    x = 889.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.