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Finding the Fourth Proportional to 1,320.94, 1,981.32 and 590.32

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Solution

The fourth proportional to 1,320.94, 1,981.32 and 590.32 is: 885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.94 : 1,981.32 = 590.32 : x
  2. Step 2: Convert to fraction form
    1,320.94/1,981.32 = 590.32/x
  3. Step 3: Cross multiply
    1,320.94x = 1,981.32 × 590.32
  4. Step 4: Simplify right side
    1,320.94x = 1,169,612.82
  5. Step 5: Solve for x
    x = 1,169,612.82/1,320.94
  6. Step 6: Final answer
    x = 885.44

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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.