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Finding the Fourth Proportional to 711.94, 1,068.90 and 470.02

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Solution

The fourth proportional to 711.94, 1,068.90 and 470.02 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,068.90 = 470.02 : x
  2. Step 2: Convert to fraction form
    711.94/1,068.90 = 470.02/x
  3. Step 3: Cross multiply
    711.94x = 1,068.90 × 470.02
  4. Step 4: Simplify right side
    711.94x = 502,404.38
  5. Step 5: Solve for x
    x = 502,404.38/711.94
  6. Step 6: Final answer
    x = 705.68

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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.