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Finding the Fourth Proportional to 1,053.82, 1,578.70 and 590.20

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Solution

The fourth proportional to 1,053.82, 1,578.70 and 590.20 is: 884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.82 : 1,578.70 = 590.20 : x
  2. Step 2: Convert to fraction form
    1,053.82/1,578.70 = 590.20/x
  3. Step 3: Cross multiply
    1,053.82x = 1,578.70 × 590.20
  4. Step 4: Simplify right side
    1,053.82x = 931,748.74
  5. Step 5: Solve for x
    x = 931,748.74/1,053.82
  6. Step 6: Final answer
    x = 884.16

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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.