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Finding the Fourth Proportional to 1,064.39, 1,595.89 and 508.80

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Solution

The fourth proportional to 1,064.39, 1,595.89 and 508.80 is: 762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 1,595.89 = 508.80 : x
  2. Step 2: Convert to fraction form
    1,064.39/1,595.89 = 508.80/x
  3. Step 3: Cross multiply
    1,064.39x = 1,595.89 × 508.80
  4. Step 4: Simplify right side
    1,064.39x = 811,987.91
  5. Step 5: Solve for x
    x = 811,987.91/1,064.39
  6. Step 6: Final answer
    x = 762.87

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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.