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Finding the Fourth Proportional to 672.48, 1,006.80 and 569.76

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Solution

The fourth proportional to 672.48, 1,006.80 and 569.76 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.48 : 1,006.80 = 569.76 : x
  2. Step 2: Convert to fraction form
    672.48/1,006.80 = 569.76/x
  3. Step 3: Cross multiply
    672.48x = 1,006.80 × 569.76
  4. Step 4: Simplify right side
    672.48x = 573,634.37
  5. Step 5: Solve for x
    x = 573,634.37/672.48
  6. Step 6: Final answer
    x = 853.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.