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Finding the Fourth Proportional to 1,152.78, 1,590.87 and 655.50

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Solution

The fourth proportional to 1,152.78, 1,590.87 and 655.50 is: 904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.78 : 1,590.87 = 655.50 : x
  2. Step 2: Convert to fraction form
    1,152.78/1,590.87 = 655.50/x
  3. Step 3: Cross multiply
    1,152.78x = 1,590.87 × 655.50
  4. Step 4: Simplify right side
    1,152.78x = 1,042,815.29
  5. Step 5: Solve for x
    x = 1,042,815.29/1,152.78
  6. Step 6: Final answer
    x = 904.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.