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Finding the Fourth Proportional to 1,043.60, 1,564.11 and 457.97

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Solution

The fourth proportional to 1,043.60, 1,564.11 and 457.97 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.60 : 1,564.11 = 457.97 : x
  2. Step 2: Convert to fraction form
    1,043.60/1,564.11 = 457.97/x
  3. Step 3: Cross multiply
    1,043.60x = 1,564.11 × 457.97
  4. Step 4: Simplify right side
    1,043.60x = 716,307.64
  5. Step 5: Solve for x
    x = 716,307.64/1,043.60
  6. Step 6: Final answer
    x = 686.38

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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.