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Finding the Fourth Proportional to 870.30, 1,199.88 and 607.86

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Solution

The fourth proportional to 870.30, 1,199.88 and 607.86 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.30 : 1,199.88 = 607.86 : x
  2. Step 2: Convert to fraction form
    870.30/1,199.88 = 607.86/x
  3. Step 3: Cross multiply
    870.30x = 1,199.88 × 607.86
  4. Step 4: Simplify right side
    870.30x = 729,359.06
  5. Step 5: Solve for x
    x = 729,359.06/870.30
  6. Step 6: Final answer
    x = 838.05

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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.