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Finding the Fourth Proportional to 985.13, 1,359.44 and 565.19

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Solution

The fourth proportional to 985.13, 1,359.44 and 565.19 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.13 : 1,359.44 = 565.19 : x
  2. Step 2: Convert to fraction form
    985.13/1,359.44 = 565.19/x
  3. Step 3: Cross multiply
    985.13x = 1,359.44 × 565.19
  4. Step 4: Simplify right side
    985.13x = 768,341.89
  5. Step 5: Solve for x
    x = 768,341.89/985.13
  6. Step 6: Final answer
    x = 779.94

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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.