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Finding the Fourth Proportional to 786.64, 1,178.70 and 570.34

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Solution

The fourth proportional to 786.64, 1,178.70 and 570.34 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.64 : 1,178.70 = 570.34 : x
  2. Step 2: Convert to fraction form
    786.64/1,178.70 = 570.34/x
  3. Step 3: Cross multiply
    786.64x = 1,178.70 × 570.34
  4. Step 4: Simplify right side
    786.64x = 672,259.76
  5. Step 5: Solve for x
    x = 672,259.76/786.64
  6. Step 6: Final answer
    x = 854.60

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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.