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Finding the Fourth Proportional to 1,206.63, 1,810.42 and 590.29

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Solution

The fourth proportional to 1,206.63, 1,810.42 and 590.29 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.63 : 1,810.42 = 590.29 : x
  2. Step 2: Convert to fraction form
    1,206.63/1,810.42 = 590.29/x
  3. Step 3: Cross multiply
    1,206.63x = 1,810.42 × 590.29
  4. Step 4: Simplify right side
    1,206.63x = 1,068,666.82
  5. Step 5: Solve for x
    x = 1,068,666.82/1,206.63
  6. Step 6: Final answer
    x = 885.66

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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.