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Finding the Fourth Proportional to 1,070.50, 1,605.50 and 339.93

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Solution

The fourth proportional to 1,070.50, 1,605.50 and 339.93 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.50 : 1,605.50 = 339.93 : x
  2. Step 2: Convert to fraction form
    1,070.50/1,605.50 = 339.93/x
  3. Step 3: Cross multiply
    1,070.50x = 1,605.50 × 339.93
  4. Step 4: Simplify right side
    1,070.50x = 545,757.62
  5. Step 5: Solve for x
    x = 545,757.62/1,070.50
  6. Step 6: Final answer
    x = 509.82

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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.