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Finding the Fourth Proportional to 1,152.63, 1,590.84 and 655.55

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Solution

The fourth proportional to 1,152.63, 1,590.84 and 655.55 is: 904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.63 : 1,590.84 = 655.55 : x
  2. Step 2: Convert to fraction form
    1,152.63/1,590.84 = 655.55/x
  3. Step 3: Cross multiply
    1,152.63x = 1,590.84 × 655.55
  4. Step 4: Simplify right side
    1,152.63x = 1,042,867.21
  5. Step 5: Solve for x
    x = 1,042,867.21/1,152.63
  6. Step 6: Final answer
    x = 904.77

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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.