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Finding the Fourth Proportional to 1,152.78, 1,590.74 and 655.44

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Solution

The fourth proportional to 1,152.78, 1,590.74 and 655.44 is: 904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.78 : 1,590.74 = 655.44 : x
  2. Step 2: Convert to fraction form
    1,152.78/1,590.74 = 655.44/x
  3. Step 3: Cross multiply
    1,152.78x = 1,590.74 × 655.44
  4. Step 4: Simplify right side
    1,152.78x = 1,042,631.35
  5. Step 5: Solve for x
    x = 1,042,631.35/1,152.78
  6. Step 6: Final answer
    x = 904.45

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Why These Related Problems?

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