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Finding the Fourth Proportional to 666.54, 917.60 and 555.80

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Solution

The fourth proportional to 666.54, 917.60 and 555.80 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.54 : 917.60 = 555.80 : x
  2. Step 2: Convert to fraction form
    666.54/917.60 = 555.80/x
  3. Step 3: Cross multiply
    666.54x = 917.60 × 555.80
  4. Step 4: Simplify right side
    666.54x = 509,994.71
  5. Step 5: Solve for x
    x = 509,994.71/666.54
  6. Step 6: Final answer
    x = 765.14

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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.