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Finding the Fourth Proportional to 1,070.57, 1,605.86 and 340.22

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Solution

The fourth proportional to 1,070.57, 1,605.86 and 340.22 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.57 : 1,605.86 = 340.22 : x
  2. Step 2: Convert to fraction form
    1,070.57/1,605.86 = 340.22/x
  3. Step 3: Cross multiply
    1,070.57x = 1,605.86 × 340.22
  4. Step 4: Simplify right side
    1,070.57x = 546,345.69
  5. Step 5: Solve for x
    x = 546,345.69/1,070.57
  6. Step 6: Final answer
    x = 510.33

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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.