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Finding the Fourth Proportional to 1,317.53, 1,817.82 and 918.77

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Solution

The fourth proportional to 1,317.53, 1,817.82 and 918.77 is: 1,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.53 : 1,817.82 = 918.77 : x
  2. Step 2: Convert to fraction form
    1,317.53/1,817.82 = 918.77/x
  3. Step 3: Cross multiply
    1,317.53x = 1,817.82 × 918.77
  4. Step 4: Simplify right side
    1,317.53x = 1,670,149.39
  5. Step 5: Solve for x
    x = 1,670,149.39/1,317.53
  6. Step 6: Final answer
    x = 1,267.64

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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.