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Finding the Fourth Proportional to 1,118.63, 1,676.95 and 469.01

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Solution

The fourth proportional to 1,118.63, 1,676.95 and 469.01 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.63 : 1,676.95 = 469.01 : x
  2. Step 2: Convert to fraction form
    1,118.63/1,676.95 = 469.01/x
  3. Step 3: Cross multiply
    1,118.63x = 1,676.95 × 469.01
  4. Step 4: Simplify right side
    1,118.63x = 786,509.34
  5. Step 5: Solve for x
    x = 786,509.34/1,118.63
  6. Step 6: Final answer
    x = 703.10

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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.