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Finding the Fourth Proportional to 1,019.60, 1,407.62 and 670.89

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Solution

The fourth proportional to 1,019.60, 1,407.62 and 670.89 is: 926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.60 : 1,407.62 = 670.89 : x
  2. Step 2: Convert to fraction form
    1,019.60/1,407.62 = 670.89/x
  3. Step 3: Cross multiply
    1,019.60x = 1,407.62 × 670.89
  4. Step 4: Simplify right side
    1,019.60x = 944,358.18
  5. Step 5: Solve for x
    x = 944,358.18/1,019.60
  6. Step 6: Final answer
    x = 926.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.