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Finding the Fourth Proportional to 1,148.80, 1,723.76 and 564.16

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Solution

The fourth proportional to 1,148.80, 1,723.76 and 564.16 is: 846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.80 : 1,723.76 = 564.16 : x
  2. Step 2: Convert to fraction form
    1,148.80/1,723.76 = 564.16/x
  3. Step 3: Cross multiply
    1,148.80x = 1,723.76 × 564.16
  4. Step 4: Simplify right side
    1,148.80x = 972,476.44
  5. Step 5: Solve for x
    x = 972,476.44/1,148.80
  6. Step 6: Final answer
    x = 846.52

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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.