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Finding the Fourth Proportional to 1,070.68, 1,606.82 and 523.16

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Solution

The fourth proportional to 1,070.68, 1,606.82 and 523.16 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.68 : 1,606.82 = 523.16 : x
  2. Step 2: Convert to fraction form
    1,070.68/1,606.82 = 523.16/x
  3. Step 3: Cross multiply
    1,070.68x = 1,606.82 × 523.16
  4. Step 4: Simplify right side
    1,070.68x = 840,623.95
  5. Step 5: Solve for x
    x = 840,623.95/1,070.68
  6. Step 6: Final answer
    x = 785.13

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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.