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Finding the Fourth Proportional to 700.40, 1,043.62 and 623.78

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Solution

The fourth proportional to 700.40, 1,043.62 and 623.78 is: 929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.40 : 1,043.62 = 623.78 : x
  2. Step 2: Convert to fraction form
    700.40/1,043.62 = 623.78/x
  3. Step 3: Cross multiply
    700.40x = 1,043.62 × 623.78
  4. Step 4: Simplify right side
    700.40x = 650,989.28
  5. Step 5: Solve for x
    x = 650,989.28/700.40
  6. Step 6: Final answer
    x = 929.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.