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Finding the Fourth Proportional to 690.43, 1,035.61 and 470.50

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Solution

The fourth proportional to 690.43, 1,035.61 and 470.50 is: 705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.43 : 1,035.61 = 470.50 : x
  2. Step 2: Convert to fraction form
    690.43/1,035.61 = 470.50/x
  3. Step 3: Cross multiply
    690.43x = 1,035.61 × 470.50
  4. Step 4: Simplify right side
    690.43x = 487,259.12
  5. Step 5: Solve for x
    x = 487,259.12/690.43
  6. Step 6: Final answer
    x = 705.74

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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.