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Finding the Fourth Proportional to 713.40, 1,070.10 and 567.60

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Solution

The fourth proportional to 713.40, 1,070.10 and 567.60 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 1,070.10 = 567.60 : x
  2. Step 2: Convert to fraction form
    713.40/1,070.10 = 567.60/x
  3. Step 3: Cross multiply
    713.40x = 1,070.10 × 567.60
  4. Step 4: Simplify right side
    713.40x = 607,388.76
  5. Step 5: Solve for x
    x = 607,388.76/713.40
  6. Step 6: Final answer
    x = 851.40

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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.