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Finding the Fourth Proportional to 1,555.55, 2,332.56 and 678.79

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Solution

The fourth proportional to 1,555.55, 2,332.56 and 678.79 is: 1,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.55 : 2,332.56 = 678.79 : x
  2. Step 2: Convert to fraction form
    1,555.55/2,332.56 = 678.79/x
  3. Step 3: Cross multiply
    1,555.55x = 2,332.56 × 678.79
  4. Step 4: Simplify right side
    1,555.55x = 1,583,312.57
  5. Step 5: Solve for x
    x = 1,583,312.57/1,555.55
  6. Step 6: Final answer
    x = 1,017.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.