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Finding the Fourth Proportional to 900.78, 1,345.91 and 665.52

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Solution

The fourth proportional to 900.78, 1,345.91 and 665.52 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,345.91 = 665.52 : x
  2. Step 2: Convert to fraction form
    900.78/1,345.91 = 665.52/x
  3. Step 3: Cross multiply
    900.78x = 1,345.91 × 665.52
  4. Step 4: Simplify right side
    900.78x = 895,726.70
  5. Step 5: Solve for x
    x = 895,726.70/900.78
  6. Step 6: Final answer
    x = 994.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.