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Finding the Fourth Proportional to 1,010.71, 1,394.84 and 568.60

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Solution

The fourth proportional to 1,010.71, 1,394.84 and 568.60 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.71 : 1,394.84 = 568.60 : x
  2. Step 2: Convert to fraction form
    1,010.71/1,394.84 = 568.60/x
  3. Step 3: Cross multiply
    1,010.71x = 1,394.84 × 568.60
  4. Step 4: Simplify right side
    1,010.71x = 793,106.02
  5. Step 5: Solve for x
    x = 793,106.02/1,010.71
  6. Step 6: Final answer
    x = 784.70

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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.