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Finding the Fourth Proportional to 1,043.05, 1,564.61 and 457.75

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Solution

The fourth proportional to 1,043.05, 1,564.61 and 457.75 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.05 : 1,564.61 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,043.05/1,564.61 = 457.75/x
  3. Step 3: Cross multiply
    1,043.05x = 1,564.61 × 457.75
  4. Step 4: Simplify right side
    1,043.05x = 716,200.23
  5. Step 5: Solve for x
    x = 716,200.23/1,043.05
  6. Step 6: Final answer
    x = 686.64

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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.