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Finding the Fourth Proportional to 784.19, 1,082.08 and 469.51

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Solution

The fourth proportional to 784.19, 1,082.08 and 469.51 is: 647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.19 : 1,082.08 = 469.51 : x
  2. Step 2: Convert to fraction form
    784.19/1,082.08 = 469.51/x
  3. Step 3: Cross multiply
    784.19x = 1,082.08 × 469.51
  4. Step 4: Simplify right side
    784.19x = 508,047.38
  5. Step 5: Solve for x
    x = 508,047.38/784.19
  6. Step 6: Final answer
    x = 647.86

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Double scale
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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.