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Finding the Fourth Proportional to 1,070.71, 1,477.56 and 604.96

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Solution

The fourth proportional to 1,070.71, 1,477.56 and 604.96 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.71 : 1,477.56 = 604.96 : x
  2. Step 2: Convert to fraction form
    1,070.71/1,477.56 = 604.96/x
  3. Step 3: Cross multiply
    1,070.71x = 1,477.56 × 604.96
  4. Step 4: Simplify right side
    1,070.71x = 893,864.70
  5. Step 5: Solve for x
    x = 893,864.70/1,070.71
  6. Step 6: Final answer
    x = 834.83

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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.