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Finding the Fourth Proportional to 1,408.68, 2,111.55 and 530.58

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Solution

The fourth proportional to 1,408.68, 2,111.55 and 530.58 is: 795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.68 : 2,111.55 = 530.58 : x
  2. Step 2: Convert to fraction form
    1,408.68/2,111.55 = 530.58/x
  3. Step 3: Cross multiply
    1,408.68x = 2,111.55 × 530.58
  4. Step 4: Simplify right side
    1,408.68x = 1,120,346.20
  5. Step 5: Solve for x
    x = 1,120,346.20/1,408.68
  6. Step 6: Final answer
    x = 795.32

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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.