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Finding the Fourth Proportional to 1,041.62, 1,564.86 and 609.08

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Solution

The fourth proportional to 1,041.62, 1,564.86 and 609.08 is: 915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.62 : 1,564.86 = 609.08 : x
  2. Step 2: Convert to fraction form
    1,041.62/1,564.86 = 609.08/x
  3. Step 3: Cross multiply
    1,041.62x = 1,564.86 × 609.08
  4. Step 4: Simplify right side
    1,041.62x = 953,124.93
  5. Step 5: Solve for x
    x = 953,124.93/1,041.62
  6. Step 6: Final answer
    x = 915.04

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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.