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Finding the Fourth Proportional to 988.64, 1,364.12 and 595.68

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Solution

The fourth proportional to 988.64, 1,364.12 and 595.68 is: 821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.64 : 1,364.12 = 595.68 : x
  2. Step 2: Convert to fraction form
    988.64/1,364.12 = 595.68/x
  3. Step 3: Cross multiply
    988.64x = 1,364.12 × 595.68
  4. Step 4: Simplify right side
    988.64x = 812,580.49
  5. Step 5: Solve for x
    x = 812,580.49/988.64
  6. Step 6: Final answer
    x = 821.92

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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.