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Finding the Fourth Proportional to 1,152.67, 1,587.46 and 1,078.55

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Solution

The fourth proportional to 1,152.67, 1,587.46 and 1,078.55 is: 1,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.67 : 1,587.46 = 1,078.55 : x
  2. Step 2: Convert to fraction form
    1,152.67/1,587.46 = 1,078.55/x
  3. Step 3: Cross multiply
    1,152.67x = 1,587.46 × 1,078.55
  4. Step 4: Simplify right side
    1,152.67x = 1,712,154.98
  5. Step 5: Solve for x
    x = 1,712,154.98/1,152.67
  6. Step 6: Final answer
    x = 1,485.38

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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.