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Finding the Fourth Proportional to 1,061.35, 1,590.41 and 444.72

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Solution

The fourth proportional to 1,061.35, 1,590.41 and 444.72 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.35 : 1,590.41 = 444.72 : x
  2. Step 2: Convert to fraction form
    1,061.35/1,590.41 = 444.72/x
  3. Step 3: Cross multiply
    1,061.35x = 1,590.41 × 444.72
  4. Step 4: Simplify right side
    1,061.35x = 707,287.14
  5. Step 5: Solve for x
    x = 707,287.14/1,061.35
  6. Step 6: Final answer
    x = 666.40

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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.