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Finding the Fourth Proportional to 1,012.32, 1,521.32 and 987.75

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Solution

The fourth proportional to 1,012.32, 1,521.32 and 987.75 is: 1,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,521.32 = 987.75 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,521.32 = 987.75/x
  3. Step 3: Cross multiply
    1,012.32x = 1,521.32 × 987.75
  4. Step 4: Simplify right side
    1,012.32x = 1,502,678.89
  5. Step 5: Solve for x
    x = 1,502,678.89/1,012.32
  6. Step 6: Final answer
    x = 1,484.39

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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.