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Finding the Fourth Proportional to 1,590.22, 2,385.29 and 712.52

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Solution

The fourth proportional to 1,590.22, 2,385.29 and 712.52 is: 1,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.22 : 2,385.29 = 712.52 : x
  2. Step 2: Convert to fraction form
    1,590.22/2,385.29 = 712.52/x
  3. Step 3: Cross multiply
    1,590.22x = 2,385.29 × 712.52
  4. Step 4: Simplify right side
    1,590.22x = 1,699,566.83
  5. Step 5: Solve for x
    x = 1,699,566.83/1,590.22
  6. Step 6: Final answer
    x = 1,068.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.