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Finding the Fourth Proportional to 1,030.86, 1,543.86 and 683.64

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Solution

The fourth proportional to 1,030.86, 1,543.86 and 683.64 is: 1,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.86 : 1,543.86 = 683.64 : x
  2. Step 2: Convert to fraction form
    1,030.86/1,543.86 = 683.64/x
  3. Step 3: Cross multiply
    1,030.86x = 1,543.86 × 683.64
  4. Step 4: Simplify right side
    1,030.86x = 1,055,444.45
  5. Step 5: Solve for x
    x = 1,055,444.45/1,030.86
  6. Step 6: Final answer
    x = 1,023.85

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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.