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Finding the Fourth Proportional to 1,070.83, 1,604.92 and 607.20

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Solution

The fourth proportional to 1,070.83, 1,604.92 and 607.20 is: 910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.83 : 1,604.92 = 607.20 : x
  2. Step 2: Convert to fraction form
    1,070.83/1,604.92 = 607.20/x
  3. Step 3: Cross multiply
    1,070.83x = 1,604.92 × 607.20
  4. Step 4: Simplify right side
    1,070.83x = 974,504.39
  5. Step 5: Solve for x
    x = 974,504.39/1,070.83
  6. Step 6: Final answer
    x = 910.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.