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Finding the Fourth Proportional to 783.48, 1,082.10 and 562.75

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Solution

The fourth proportional to 783.48, 1,082.10 and 562.75 is: 777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,082.10 = 562.75 : x
  2. Step 2: Convert to fraction form
    783.48/1,082.10 = 562.75/x
  3. Step 3: Cross multiply
    783.48x = 1,082.10 × 562.75
  4. Step 4: Simplify right side
    783.48x = 608,951.78
  5. Step 5: Solve for x
    x = 608,951.78/783.48
  6. Step 6: Final answer
    x = 777.24

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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.