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Finding the Fourth Proportional to 1,035.34, 1,428.78 and 593.26

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Solution

The fourth proportional to 1,035.34, 1,428.78 and 593.26 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.34 : 1,428.78 = 593.26 : x
  2. Step 2: Convert to fraction form
    1,035.34/1,428.78 = 593.26/x
  3. Step 3: Cross multiply
    1,035.34x = 1,428.78 × 593.26
  4. Step 4: Simplify right side
    1,035.34x = 847,638.02
  5. Step 5: Solve for x
    x = 847,638.02/1,035.34
  6. Step 6: Final answer
    x = 818.70

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Why These Related Problems?

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