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Finding the Fourth Proportional to 975.80, 1,464.04 and 565.29

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Solution

The fourth proportional to 975.80, 1,464.04 and 565.29 is: 848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,464.04 = 565.29 : x
  2. Step 2: Convert to fraction form
    975.80/1,464.04 = 565.29/x
  3. Step 3: Cross multiply
    975.80x = 1,464.04 × 565.29
  4. Step 4: Simplify right side
    975.80x = 827,610.19
  5. Step 5: Solve for x
    x = 827,610.19/975.80
  6. Step 6: Final answer
    x = 848.14

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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.