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Finding the Fourth Proportional to 1,045.99, 1,569.42 and 584.09

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Solution

The fourth proportional to 1,045.99, 1,569.42 and 584.09 is: 876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.99 : 1,569.42 = 584.09 : x
  2. Step 2: Convert to fraction form
    1,045.99/1,569.42 = 584.09/x
  3. Step 3: Cross multiply
    1,045.99x = 1,569.42 × 584.09
  4. Step 4: Simplify right side
    1,045.99x = 916,682.53
  5. Step 5: Solve for x
    x = 916,682.53/1,045.99
  6. Step 6: Final answer
    x = 876.38

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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.