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Finding the Fourth Proportional to 1,130.69, 1,695.86 and 309.03

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Solution

The fourth proportional to 1,130.69, 1,695.86 and 309.03 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.69 : 1,695.86 = 309.03 : x
  2. Step 2: Convert to fraction form
    1,130.69/1,695.86 = 309.03/x
  3. Step 3: Cross multiply
    1,130.69x = 1,695.86 × 309.03
  4. Step 4: Simplify right side
    1,130.69x = 524,064.87
  5. Step 5: Solve for x
    x = 524,064.87/1,130.69
  6. Step 6: Final answer
    x = 463.49

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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.