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Finding the Fourth Proportional to 1,045.46, 1,569.73 and 584.14

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Solution

The fourth proportional to 1,045.46, 1,569.73 and 584.14 is: 877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.46 : 1,569.73 = 584.14 : x
  2. Step 2: Convert to fraction form
    1,045.46/1,569.73 = 584.14/x
  3. Step 3: Cross multiply
    1,045.46x = 1,569.73 × 584.14
  4. Step 4: Simplify right side
    1,045.46x = 916,942.08
  5. Step 5: Solve for x
    x = 916,942.08/1,045.46
  6. Step 6: Final answer
    x = 877.07

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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.