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Finding the Fourth Proportional to 703.22, 970.80 and 507.20

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Solution

The fourth proportional to 703.22, 970.80 and 507.20 is: 700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.22 : 970.80 = 507.20 : x
  2. Step 2: Convert to fraction form
    703.22/970.80 = 507.20/x
  3. Step 3: Cross multiply
    703.22x = 970.80 × 507.20
  4. Step 4: Simplify right side
    703.22x = 492,389.76
  5. Step 5: Solve for x
    x = 492,389.76/703.22
  6. Step 6: Final answer
    x = 700.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.