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Finding the Fourth Proportional to 1,065.93, 1,588.73 and 1,045.42

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Solution

The fourth proportional to 1,065.93, 1,588.73 and 1,045.42 is: 1,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.93 : 1,588.73 = 1,045.42 : x
  2. Step 2: Convert to fraction form
    1,065.93/1,588.73 = 1,045.42/x
  3. Step 3: Cross multiply
    1,065.93x = 1,588.73 × 1,045.42
  4. Step 4: Simplify right side
    1,065.93x = 1,660,895.73
  5. Step 5: Solve for x
    x = 1,660,895.73/1,065.93
  6. Step 6: Final answer
    x = 1,558.17

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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.