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Finding the Fourth Proportional to 1,030.75, 1,545.98 and 381.37

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Solution

The fourth proportional to 1,030.75, 1,545.98 and 381.37 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.75 : 1,545.98 = 381.37 : x
  2. Step 2: Convert to fraction form
    1,030.75/1,545.98 = 381.37/x
  3. Step 3: Cross multiply
    1,030.75x = 1,545.98 × 381.37
  4. Step 4: Simplify right side
    1,030.75x = 589,588.49
  5. Step 5: Solve for x
    x = 589,588.49/1,030.75
  6. Step 6: Final answer
    x = 572.00

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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.