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Finding the Fourth Proportional to 1,410.39, 2,113.76 and 587.54

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Solution

The fourth proportional to 1,410.39, 2,113.76 and 587.54 is: 880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.39 : 2,113.76 = 587.54 : x
  2. Step 2: Convert to fraction form
    1,410.39/2,113.76 = 587.54/x
  3. Step 3: Cross multiply
    1,410.39x = 2,113.76 × 587.54
  4. Step 4: Simplify right side
    1,410.39x = 1,241,925.30
  5. Step 5: Solve for x
    x = 1,241,925.30/1,410.39
  6. Step 6: Final answer
    x = 880.55

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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.