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Finding the Fourth Proportional to 1,130.25, 1,559.76 and 658.23

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Solution

The fourth proportional to 1,130.25, 1,559.76 and 658.23 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.25 : 1,559.76 = 658.23 : x
  2. Step 2: Convert to fraction form
    1,130.25/1,559.76 = 658.23/x
  3. Step 3: Cross multiply
    1,130.25x = 1,559.76 × 658.23
  4. Step 4: Simplify right side
    1,130.25x = 1,026,672.51
  5. Step 5: Solve for x
    x = 1,026,672.51/1,130.25
  6. Step 6: Final answer
    x = 908.36

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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.