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Finding the Fourth Proportional to 713.40, 1,070.10 and 348.90

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Solution

The fourth proportional to 713.40, 1,070.10 and 348.90 is: 523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 1,070.10 = 348.90 : x
  2. Step 2: Convert to fraction form
    713.40/1,070.10 = 348.90/x
  3. Step 3: Cross multiply
    713.40x = 1,070.10 × 348.90
  4. Step 4: Simplify right side
    713.40x = 373,357.89
  5. Step 5: Solve for x
    x = 373,357.89/713.40
  6. Step 6: Final answer
    x = 523.35

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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.