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Finding the Fourth Proportional to 700.56, 1,048.28 and 570.25

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Solution

The fourth proportional to 700.56, 1,048.28 and 570.25 is: 853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 1,048.28 = 570.25 : x
  2. Step 2: Convert to fraction form
    700.56/1,048.28 = 570.25/x
  3. Step 3: Cross multiply
    700.56x = 1,048.28 × 570.25
  4. Step 4: Simplify right side
    700.56x = 597,784.01
  5. Step 5: Solve for x
    x = 597,784.01/700.56
  6. Step 6: Final answer
    x = 853.29

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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.