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Finding the Fourth Proportional to 1,407.58, 2,109.40 and 529.19

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Solution

The fourth proportional to 1,407.58, 2,109.40 and 529.19 is: 793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.58 : 2,109.40 = 529.19 : x
  2. Step 2: Convert to fraction form
    1,407.58/2,109.40 = 529.19/x
  3. Step 3: Cross multiply
    1,407.58x = 2,109.40 × 529.19
  4. Step 4: Simplify right side
    1,407.58x = 1,116,269.43
  5. Step 5: Solve for x
    x = 1,116,269.43/1,407.58
  6. Step 6: Final answer
    x = 793.04

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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.