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Finding the Fourth Proportional to 1,064.65, 1,469.48 and 710.59

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Solution

The fourth proportional to 1,064.65, 1,469.48 and 710.59 is: 980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.65 : 1,469.48 = 710.59 : x
  2. Step 2: Convert to fraction form
    1,064.65/1,469.48 = 710.59/x
  3. Step 3: Cross multiply
    1,064.65x = 1,469.48 × 710.59
  4. Step 4: Simplify right side
    1,064.65x = 1,044,194.24
  5. Step 5: Solve for x
    x = 1,044,194.24/1,064.65
  6. Step 6: Final answer
    x = 980.79

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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.