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Finding the Fourth Proportional to 988.40, 1,364.04 and 595.40

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Solution

The fourth proportional to 988.40, 1,364.04 and 595.40 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.40 : 1,364.04 = 595.40 : x
  2. Step 2: Convert to fraction form
    988.40/1,364.04 = 595.40/x
  3. Step 3: Cross multiply
    988.40x = 1,364.04 × 595.40
  4. Step 4: Simplify right side
    988.40x = 812,149.42
  5. Step 5: Solve for x
    x = 812,149.42/988.40
  6. Step 6: Final answer
    x = 821.68

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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.