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Finding the Fourth Proportional to 795.46, 1,098.11 and 530.35

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Solution

The fourth proportional to 795.46, 1,098.11 and 530.35 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.46 : 1,098.11 = 530.35 : x
  2. Step 2: Convert to fraction form
    795.46/1,098.11 = 530.35/x
  3. Step 3: Cross multiply
    795.46x = 1,098.11 × 530.35
  4. Step 4: Simplify right side
    795.46x = 582,381.59
  5. Step 5: Solve for x
    x = 582,381.59/795.46
  6. Step 6: Final answer
    x = 732.13

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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.