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Finding the Fourth Proportional to 534.92, 797.70 and 530.06

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Solution

The fourth proportional to 534.92, 797.70 and 530.06 is: 790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 797.70 = 530.06 : x
  2. Step 2: Convert to fraction form
    534.92/797.70 = 530.06/x
  3. Step 3: Cross multiply
    534.92x = 797.70 × 530.06
  4. Step 4: Simplify right side
    534.92x = 422,828.86
  5. Step 5: Solve for x
    x = 422,828.86/534.92
  6. Step 6: Final answer
    x = 790.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.