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Finding the Fourth Proportional to 1,006.80, 1,510.62 and 357.60

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Solution

The fourth proportional to 1,006.80, 1,510.62 and 357.60 is: 536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.80 : 1,510.62 = 357.60 : x
  2. Step 2: Convert to fraction form
    1,006.80/1,510.62 = 357.60/x
  3. Step 3: Cross multiply
    1,006.80x = 1,510.62 × 357.60
  4. Step 4: Simplify right side
    1,006.80x = 540,197.71
  5. Step 5: Solve for x
    x = 540,197.71/1,006.80
  6. Step 6: Final answer
    x = 536.55

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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.