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Finding the Fourth Proportional to 1,019.98, 1,521.05 and 950.32

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Solution

The fourth proportional to 1,019.98, 1,521.05 and 950.32 is: 1,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.98 : 1,521.05 = 950.32 : x
  2. Step 2: Convert to fraction form
    1,019.98/1,521.05 = 950.32/x
  3. Step 3: Cross multiply
    1,019.98x = 1,521.05 × 950.32
  4. Step 4: Simplify right side
    1,019.98x = 1,445,484.24
  5. Step 5: Solve for x
    x = 1,445,484.24/1,019.98
  6. Step 6: Final answer
    x = 1,417.17

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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.