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Finding the Fourth Proportional to 988.50, 1,364.14 and 595.53

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Solution

The fourth proportional to 988.50, 1,364.14 and 595.53 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.50 : 1,364.14 = 595.53 : x
  2. Step 2: Convert to fraction form
    988.50/1,364.14 = 595.53/x
  3. Step 3: Cross multiply
    988.50x = 1,364.14 × 595.53
  4. Step 4: Simplify right side
    988.50x = 812,386.29
  5. Step 5: Solve for x
    x = 812,386.29/988.50
  6. Step 6: Final answer
    x = 821.84

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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.