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Finding the Fourth Proportional to 1,130.26, 1,693.29 and 609.52

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Solution

The fourth proportional to 1,130.26, 1,693.29 and 609.52 is: 913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.26 : 1,693.29 = 609.52 : x
  2. Step 2: Convert to fraction form
    1,130.26/1,693.29 = 609.52/x
  3. Step 3: Cross multiply
    1,130.26x = 1,693.29 × 609.52
  4. Step 4: Simplify right side
    1,130.26x = 1,032,094.12
  5. Step 5: Solve for x
    x = 1,032,094.12/1,130.26
  6. Step 6: Final answer
    x = 913.15

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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.