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Finding the Fourth Proportional to 1,152.55, 1,590.53 and 628.59

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Solution

The fourth proportional to 1,152.55, 1,590.53 and 628.59 is: 867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.55 : 1,590.53 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,152.55/1,590.53 = 628.59/x
  3. Step 3: Cross multiply
    1,152.55x = 1,590.53 × 628.59
  4. Step 4: Simplify right side
    1,152.55x = 999,791.25
  5. Step 5: Solve for x
    x = 999,791.25/1,152.55
  6. Step 6: Final answer
    x = 867.46

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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.