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Finding the Fourth Proportional to 1,035.61, 1,429.04 and 593.48

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Solution

The fourth proportional to 1,035.61, 1,429.04 and 593.48 is: 818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.61 : 1,429.04 = 593.48 : x
  2. Step 2: Convert to fraction form
    1,035.61/1,429.04 = 593.48/x
  3. Step 3: Cross multiply
    1,035.61x = 1,429.04 × 593.48
  4. Step 4: Simplify right side
    1,035.61x = 848,111.72
  5. Step 5: Solve for x
    x = 848,111.72/1,035.61
  6. Step 6: Final answer
    x = 818.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.