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Finding the Fourth Proportional to 1,125.07, 1,551.72 and 732.22

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Solution

The fourth proportional to 1,125.07, 1,551.72 and 732.22 is: 1,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.07 : 1,551.72 = 732.22 : x
  2. Step 2: Convert to fraction form
    1,125.07/1,551.72 = 732.22/x
  3. Step 3: Cross multiply
    1,125.07x = 1,551.72 × 732.22
  4. Step 4: Simplify right side
    1,125.07x = 1,136,200.42
  5. Step 5: Solve for x
    x = 1,136,200.42/1,125.07
  6. Step 6: Final answer
    x = 1,009.89

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Why These Related Problems?

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