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Finding the Fourth Proportional to 857.16, 1,182.42 and 507.78

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Solution

The fourth proportional to 857.16, 1,182.42 and 507.78 is: 700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.16 : 1,182.42 = 507.78 : x
  2. Step 2: Convert to fraction form
    857.16/1,182.42 = 507.78/x
  3. Step 3: Cross multiply
    857.16x = 1,182.42 × 507.78
  4. Step 4: Simplify right side
    857.16x = 600,409.23
  5. Step 5: Solve for x
    x = 600,409.23/857.16
  6. Step 6: Final answer
    x = 700.46

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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.