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Finding the Fourth Proportional to 1,061.38, 1,464.84 and 595.63

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Solution

The fourth proportional to 1,061.38, 1,464.84 and 595.63 is: 822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.38 : 1,464.84 = 595.63 : x
  2. Step 2: Convert to fraction form
    1,061.38/1,464.84 = 595.63/x
  3. Step 3: Cross multiply
    1,061.38x = 1,464.84 × 595.63
  4. Step 4: Simplify right side
    1,061.38x = 872,492.35
  5. Step 5: Solve for x
    x = 872,492.35/1,061.38
  6. Step 6: Final answer
    x = 822.04

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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.