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Finding the Fourth Proportional to 651.65, 975.15 and 566.00

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Solution

The fourth proportional to 651.65, 975.15 and 566.00 is: 846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 975.15 = 566.00 : x
  2. Step 2: Convert to fraction form
    651.65/975.15 = 566.00/x
  3. Step 3: Cross multiply
    651.65x = 975.15 × 566.00
  4. Step 4: Simplify right side
    651.65x = 551,930.02
  5. Step 5: Solve for x
    x = 551,930.02/651.65
  6. Step 6: Final answer
    x = 846.97

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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.