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Finding the Fourth Proportional to 1,052.48, 1,567.62 and 1,005.09

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Solution

The fourth proportional to 1,052.48, 1,567.62 and 1,005.09 is: 1,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.48 : 1,567.62 = 1,005.09 : x
  2. Step 2: Convert to fraction form
    1,052.48/1,567.62 = 1,005.09/x
  3. Step 3: Cross multiply
    1,052.48x = 1,567.62 × 1,005.09
  4. Step 4: Simplify right side
    1,052.48x = 1,575,599.19
  5. Step 5: Solve for x
    x = 1,575,599.19/1,052.48
  6. Step 6: Final answer
    x = 1,497.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.