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Finding the Fourth Proportional to 870.64, 1,198.76 and 777.02

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Solution

The fourth proportional to 870.64, 1,198.76 and 777.02 is: 1,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.64 : 1,198.76 = 777.02 : x
  2. Step 2: Convert to fraction form
    870.64/1,198.76 = 777.02/x
  3. Step 3: Cross multiply
    870.64x = 1,198.76 × 777.02
  4. Step 4: Simplify right side
    870.64x = 931,460.50
  5. Step 5: Solve for x
    x = 931,460.50/870.64
  6. Step 6: Final answer
    x = 1,069.86

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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.