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Finding the Fourth Proportional to 1,051.94, 1,569.16 and 1,021.52

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Solution

The fourth proportional to 1,051.94, 1,569.16 and 1,021.52 is: 1,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.94 : 1,569.16 = 1,021.52 : x
  2. Step 2: Convert to fraction form
    1,051.94/1,569.16 = 1,021.52/x
  3. Step 3: Cross multiply
    1,051.94x = 1,569.16 × 1,021.52
  4. Step 4: Simplify right side
    1,051.94x = 1,602,928.32
  5. Step 5: Solve for x
    x = 1,602,928.32/1,051.94
  6. Step 6: Final answer
    x = 1,523.78

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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.