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Finding the Fourth Proportional to 549.98, 821.04 and 530.76

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Solution

The fourth proportional to 549.98, 821.04 and 530.76 is: 792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 821.04 = 530.76 : x
  2. Step 2: Convert to fraction form
    549.98/821.04 = 530.76/x
  3. Step 3: Cross multiply
    549.98x = 821.04 × 530.76
  4. Step 4: Simplify right side
    549.98x = 435,772.41
  5. Step 5: Solve for x
    x = 435,772.41/549.98
  6. Step 6: Final answer
    x = 792.35

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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.