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Finding the Fourth Proportional to 953.07, 1,314.94 and 560.22

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Solution

The fourth proportional to 953.07, 1,314.94 and 560.22 is: 772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.07 : 1,314.94 = 560.22 : x
  2. Step 2: Convert to fraction form
    953.07/1,314.94 = 560.22/x
  3. Step 3: Cross multiply
    953.07x = 1,314.94 × 560.22
  4. Step 4: Simplify right side
    953.07x = 736,655.69
  5. Step 5: Solve for x
    x = 736,655.69/953.07
  6. Step 6: Final answer
    x = 772.93

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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.