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Finding the Fourth Proportional to 1,070.46, 1,605.79 and 340.14

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Solution

The fourth proportional to 1,070.46, 1,605.79 and 340.14 is: 510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.46 : 1,605.79 = 340.14 : x
  2. Step 2: Convert to fraction form
    1,070.46/1,605.79 = 340.14/x
  3. Step 3: Cross multiply
    1,070.46x = 1,605.79 × 340.14
  4. Step 4: Simplify right side
    1,070.46x = 546,199.86
  5. Step 5: Solve for x
    x = 546,199.86/1,070.46
  6. Step 6: Final answer
    x = 510.25

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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.