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Finding the Fourth Proportional to 786.04, 1,178.58 and 569.80

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Solution

The fourth proportional to 786.04, 1,178.58 and 569.80 is: 854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.04 : 1,178.58 = 569.80 : x
  2. Step 2: Convert to fraction form
    786.04/1,178.58 = 569.80/x
  3. Step 3: Cross multiply
    786.04x = 1,178.58 × 569.80
  4. Step 4: Simplify right side
    786.04x = 671,554.88
  5. Step 5: Solve for x
    x = 671,554.88/786.04
  6. Step 6: Final answer
    x = 854.35

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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.