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Finding the Fourth Proportional to 653.08, 977.76 and 602.04

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Solution

The fourth proportional to 653.08, 977.76 and 602.04 is: 901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.08 : 977.76 = 602.04 : x
  2. Step 2: Convert to fraction form
    653.08/977.76 = 602.04/x
  3. Step 3: Cross multiply
    653.08x = 977.76 × 602.04
  4. Step 4: Simplify right side
    653.08x = 588,650.63
  5. Step 5: Solve for x
    x = 588,650.63/653.08
  6. Step 6: Final answer
    x = 901.35

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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.