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Finding the Fourth Proportional to 870.32, 1,194.45 and 846.02

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Solution

The fourth proportional to 870.32, 1,194.45 and 846.02 is: 1,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.32 : 1,194.45 = 846.02 : x
  2. Step 2: Convert to fraction form
    870.32/1,194.45 = 846.02/x
  3. Step 3: Cross multiply
    870.32x = 1,194.45 × 846.02
  4. Step 4: Simplify right side
    870.32x = 1,010,528.59
  5. Step 5: Solve for x
    x = 1,010,528.59/870.32
  6. Step 6: Final answer
    x = 1,161.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.