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Finding the Fourth Proportional to 826.04, 1,140.10 and 476.76

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Solution

The fourth proportional to 826.04, 1,140.10 and 476.76 is: 658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.04 : 1,140.10 = 476.76 : x
  2. Step 2: Convert to fraction form
    826.04/1,140.10 = 476.76/x
  3. Step 3: Cross multiply
    826.04x = 1,140.10 × 476.76
  4. Step 4: Simplify right side
    826.04x = 543,554.08
  5. Step 5: Solve for x
    x = 543,554.08/826.04
  6. Step 6: Final answer
    x = 658.02

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Half scale
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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.