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Finding the Fourth Proportional to 653.04, 895.98 and 597.96

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Solution

The fourth proportional to 653.04, 895.98 and 597.96 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 895.98 = 597.96 : x
  2. Step 2: Convert to fraction form
    653.04/895.98 = 597.96/x
  3. Step 3: Cross multiply
    653.04x = 895.98 × 597.96
  4. Step 4: Simplify right side
    653.04x = 535,760.20
  5. Step 5: Solve for x
    x = 535,760.20/653.04
  6. Step 6: Final answer
    x = 820.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.