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Finding the Fourth Proportional to 1,142.38, 1,715.04 and 594.94

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Solution

The fourth proportional to 1,142.38, 1,715.04 and 594.94 is: 893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.38 : 1,715.04 = 594.94 : x
  2. Step 2: Convert to fraction form
    1,142.38/1,715.04 = 594.94/x
  3. Step 3: Cross multiply
    1,142.38x = 1,715.04 × 594.94
  4. Step 4: Simplify right side
    1,142.38x = 1,020,345.90
  5. Step 5: Solve for x
    x = 1,020,345.90/1,142.38
  6. Step 6: Final answer
    x = 893.18

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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.