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Finding the Fourth Proportional to 593.64, 823.02 and 560.88

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Solution

The fourth proportional to 593.64, 823.02 and 560.88 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 823.02 = 560.88 : x
  2. Step 2: Convert to fraction form
    593.64/823.02 = 560.88/x
  3. Step 3: Cross multiply
    593.64x = 823.02 × 560.88
  4. Step 4: Simplify right side
    593.64x = 461,615.46
  5. Step 5: Solve for x
    x = 461,615.46/593.64
  6. Step 6: Final answer
    x = 777.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.