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Finding the Fourth Proportional to 690.96, 1,030.71 and 670.68

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Solution

The fourth proportional to 690.96, 1,030.71 and 670.68 is: 1,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.96 : 1,030.71 = 670.68 : x
  2. Step 2: Convert to fraction form
    690.96/1,030.71 = 670.68/x
  3. Step 3: Cross multiply
    690.96x = 1,030.71 × 670.68
  4. Step 4: Simplify right side
    690.96x = 691,276.58
  5. Step 5: Solve for x
    x = 691,276.58/690.96
  6. Step 6: Final answer
    x = 1,000.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.