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Finding the Fourth Proportional to 714.30, 1,070.52 and 470.70

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Solution

The fourth proportional to 714.30, 1,070.52 and 470.70 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.30 : 1,070.52 = 470.70 : x
  2. Step 2: Convert to fraction form
    714.30/1,070.52 = 470.70/x
  3. Step 3: Cross multiply
    714.30x = 1,070.52 × 470.70
  4. Step 4: Simplify right side
    714.30x = 503,893.76
  5. Step 5: Solve for x
    x = 503,893.76/714.30
  6. Step 6: Final answer
    x = 705.44

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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.