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Finding the Fourth Proportional to 1,043.42, 1,567.22 and 897.08

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Solution

The fourth proportional to 1,043.42, 1,567.22 and 897.08 is: 1,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.42 : 1,567.22 = 897.08 : x
  2. Step 2: Convert to fraction form
    1,043.42/1,567.22 = 897.08/x
  3. Step 3: Cross multiply
    1,043.42x = 1,567.22 × 897.08
  4. Step 4: Simplify right side
    1,043.42x = 1,405,909.40
  5. Step 5: Solve for x
    x = 1,405,909.40/1,043.42
  6. Step 6: Final answer
    x = 1,347.41

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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.