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Finding the Fourth Proportional to 1,458.63, 2,188.05 and 457.89

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Solution

The fourth proportional to 1,458.63, 2,188.05 and 457.89 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.63 : 2,188.05 = 457.89 : x
  2. Step 2: Convert to fraction form
    1,458.63/2,188.05 = 457.89/x
  3. Step 3: Cross multiply
    1,458.63x = 2,188.05 × 457.89
  4. Step 4: Simplify right side
    1,458.63x = 1,001,886.21
  5. Step 5: Solve for x
    x = 1,001,886.21/1,458.63
  6. Step 6: Final answer
    x = 686.87

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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.