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Finding the Fourth Proportional to 1,052.80, 1,452.80 and 580.64

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Solution

The fourth proportional to 1,052.80, 1,452.80 and 580.64 is: 801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.80 : 1,452.80 = 580.64 : x
  2. Step 2: Convert to fraction form
    1,052.80/1,452.80 = 580.64/x
  3. Step 3: Cross multiply
    1,052.80x = 1,452.80 × 580.64
  4. Step 4: Simplify right side
    1,052.80x = 843,547.98
  5. Step 5: Solve for x
    x = 843,547.98/1,052.80
  6. Step 6: Final answer
    x = 801.24

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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.