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Finding the Fourth Proportional to 1,030.89, 1,423.80 and 698.76

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Solution

The fourth proportional to 1,030.89, 1,423.80 and 698.76 is: 965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.89 : 1,423.80 = 698.76 : x
  2. Step 2: Convert to fraction form
    1,030.89/1,423.80 = 698.76/x
  3. Step 3: Cross multiply
    1,030.89x = 1,423.80 × 698.76
  4. Step 4: Simplify right side
    1,030.89x = 994,894.49
  5. Step 5: Solve for x
    x = 994,894.49/1,030.89
  6. Step 6: Final answer
    x = 965.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.