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Finding the Fourth Proportional to 653.02, 901.70 and 505.40

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Solution

The fourth proportional to 653.02, 901.70 and 505.40 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.02 : 901.70 = 505.40 : x
  2. Step 2: Convert to fraction form
    653.02/901.70 = 505.40/x
  3. Step 3: Cross multiply
    653.02x = 901.70 × 505.40
  4. Step 4: Simplify right side
    653.02x = 455,719.18
  5. Step 5: Solve for x
    x = 455,719.18/653.02
  6. Step 6: Final answer
    x = 697.86

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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.