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Finding the Fourth Proportional to 989.04, 1,364.70 and 595.80

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Solution

The fourth proportional to 989.04, 1,364.70 and 595.80 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.04 : 1,364.70 = 595.80 : x
  2. Step 2: Convert to fraction form
    989.04/1,364.70 = 595.80/x
  3. Step 3: Cross multiply
    989.04x = 1,364.70 × 595.80
  4. Step 4: Simplify right side
    989.04x = 813,088.26
  5. Step 5: Solve for x
    x = 813,088.26/989.04
  6. Step 6: Final answer
    x = 822.10

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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.