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Finding the Fourth Proportional to 895.02, 1,343.61 and 530.22

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Solution

The fourth proportional to 895.02, 1,343.61 and 530.22 is: 795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,343.61 = 530.22 : x
  2. Step 2: Convert to fraction form
    895.02/1,343.61 = 530.22/x
  3. Step 3: Cross multiply
    895.02x = 1,343.61 × 530.22
  4. Step 4: Simplify right side
    895.02x = 712,408.89
  5. Step 5: Solve for x
    x = 712,408.89/895.02
  6. Step 6: Final answer
    x = 795.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.