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Finding the Fourth Proportional to 830.56, 1,146.28 and 568.48

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Solution

The fourth proportional to 830.56, 1,146.28 and 568.48 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.56 : 1,146.28 = 568.48 : x
  2. Step 2: Convert to fraction form
    830.56/1,146.28 = 568.48/x
  3. Step 3: Cross multiply
    830.56x = 1,146.28 × 568.48
  4. Step 4: Simplify right side
    830.56x = 651,637.25
  5. Step 5: Solve for x
    x = 651,637.25/830.56
  6. Step 6: Final answer
    x = 784.58

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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.