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Finding the Fourth Proportional to 988.53, 1,364.24 and 568.91

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Solution

The fourth proportional to 988.53, 1,364.24 and 568.91 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.53 : 1,364.24 = 568.91 : x
  2. Step 2: Convert to fraction form
    988.53/1,364.24 = 568.91/x
  3. Step 3: Cross multiply
    988.53x = 1,364.24 × 568.91
  4. Step 4: Simplify right side
    988.53x = 776,120.11
  5. Step 5: Solve for x
    x = 776,120.11/988.53
  6. Step 6: Final answer
    x = 785.13

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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.