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Finding the Fourth Proportional to 779.04, 1,164.48 and 595.44

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Solution

The fourth proportional to 779.04, 1,164.48 and 595.44 is: 890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.04 : 1,164.48 = 595.44 : x
  2. Step 2: Convert to fraction form
    779.04/1,164.48 = 595.44/x
  3. Step 3: Cross multiply
    779.04x = 1,164.48 × 595.44
  4. Step 4: Simplify right side
    779.04x = 693,377.97
  5. Step 5: Solve for x
    x = 693,377.97/779.04
  6. Step 6: Final answer
    x = 890.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.