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Finding the Fourth Proportional to 601.60, 829.02 and 560.56

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Solution

The fourth proportional to 601.60, 829.02 and 560.56 is: 772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 829.02 = 560.56 : x
  2. Step 2: Convert to fraction form
    601.60/829.02 = 560.56/x
  3. Step 3: Cross multiply
    601.60x = 829.02 × 560.56
  4. Step 4: Simplify right side
    601.60x = 464,715.45
  5. Step 5: Solve for x
    x = 464,715.45/601.60
  6. Step 6: Final answer
    x = 772.47

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1.5x scale

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.