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Finding the Fourth Proportional to 783.65, 1,174.94 and 470.59

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Solution

The fourth proportional to 783.65, 1,174.94 and 470.59 is: 705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,174.94 = 470.59 : x
  2. Step 2: Convert to fraction form
    783.65/1,174.94 = 470.59/x
  3. Step 3: Cross multiply
    783.65x = 1,174.94 × 470.59
  4. Step 4: Simplify right side
    783.65x = 552,909.72
  5. Step 5: Solve for x
    x = 552,909.72/783.65
  6. Step 6: Final answer
    x = 705.56

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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.