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Finding the Fourth Proportional to 1,070.76, 1,605.78 and 522.60

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Solution

The fourth proportional to 1,070.76, 1,605.78 and 522.60 is: 783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.76 : 1,605.78 = 522.60 : x
  2. Step 2: Convert to fraction form
    1,070.76/1,605.78 = 522.60/x
  3. Step 3: Cross multiply
    1,070.76x = 1,605.78 × 522.60
  4. Step 4: Simplify right side
    1,070.76x = 839,180.63
  5. Step 5: Solve for x
    x = 839,180.63/1,070.76
  6. Step 6: Final answer
    x = 783.72

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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.