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Finding the Fourth Proportional to 976.04, 1,464.07 and 564.93

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Solution

The fourth proportional to 976.04, 1,464.07 and 564.93 is: 847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.04 : 1,464.07 = 564.93 : x
  2. Step 2: Convert to fraction form
    976.04/1,464.07 = 564.93/x
  3. Step 3: Cross multiply
    976.04x = 1,464.07 × 564.93
  4. Step 4: Simplify right side
    976.04x = 827,097.07
  5. Step 5: Solve for x
    x = 827,097.07/976.04
  6. Step 6: Final answer
    x = 847.40

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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.