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Finding the Fourth Proportional to 1,590.89, 2,384.60 and 666.95

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Solution

The fourth proportional to 1,590.89, 2,384.60 and 666.95 is: 999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.89 : 2,384.60 = 666.95 : x
  2. Step 2: Convert to fraction form
    1,590.89/2,384.60 = 666.95/x
  3. Step 3: Cross multiply
    1,590.89x = 2,384.60 × 666.95
  4. Step 4: Simplify right side
    1,590.89x = 1,590,393.71
  5. Step 5: Solve for x
    x = 1,590,393.71/1,590.89
  6. Step 6: Final answer
    x = 999.69

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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.