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Finding the Fourth Proportional to 988.83, 1,364.54 and 569.25

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Solution

The fourth proportional to 988.83, 1,364.54 and 569.25 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.83 : 1,364.54 = 569.25 : x
  2. Step 2: Convert to fraction form
    988.83/1,364.54 = 569.25/x
  3. Step 3: Cross multiply
    988.83x = 1,364.54 × 569.25
  4. Step 4: Simplify right side
    988.83x = 776,761.55
  5. Step 5: Solve for x
    x = 776,761.55/988.83
  6. Step 6: Final answer
    x = 785.54

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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.