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Finding the Fourth Proportional to 1,347.07, 1,858.28 and 875.42

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Solution

The fourth proportional to 1,347.07, 1,858.28 and 875.42 is: 1,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.07 : 1,858.28 = 875.42 : x
  2. Step 2: Convert to fraction form
    1,347.07/1,858.28 = 875.42/x
  3. Step 3: Cross multiply
    1,347.07x = 1,858.28 × 875.42
  4. Step 4: Simplify right side
    1,347.07x = 1,626,775.48
  5. Step 5: Solve for x
    x = 1,626,775.48/1,347.07
  6. Step 6: Final answer
    x = 1,207.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.