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Finding the Fourth Proportional to 810.25, 1,118.41 and 530.04

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Solution

The fourth proportional to 810.25, 1,118.41 and 530.04 is: 731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.25 : 1,118.41 = 530.04 : x
  2. Step 2: Convert to fraction form
    810.25/1,118.41 = 530.04/x
  3. Step 3: Cross multiply
    810.25x = 1,118.41 × 530.04
  4. Step 4: Simplify right side
    810.25x = 592,804.91
  5. Step 5: Solve for x
    x = 592,804.91/810.25
  6. Step 6: Final answer
    x = 731.63

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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.