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Finding the Fourth Proportional to 1,109.31, 1,663.58 and 561.14

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Solution

The fourth proportional to 1,109.31, 1,663.58 and 561.14 is: 841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,663.58 = 561.14 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,663.58 = 561.14/x
  3. Step 3: Cross multiply
    1,109.31x = 1,663.58 × 561.14
  4. Step 4: Simplify right side
    1,109.31x = 933,490.16
  5. Step 5: Solve for x
    x = 933,490.16/1,109.31
  6. Step 6: Final answer
    x = 841.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.