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Finding the Fourth Proportional to 1,036.98, 1,545.71 and 993.24

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Solution

The fourth proportional to 1,036.98, 1,545.71 and 993.24 is: 1,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.98 : 1,545.71 = 993.24 : x
  2. Step 2: Convert to fraction form
    1,036.98/1,545.71 = 993.24/x
  3. Step 3: Cross multiply
    1,036.98x = 1,545.71 × 993.24
  4. Step 4: Simplify right side
    1,036.98x = 1,535,256.03
  5. Step 5: Solve for x
    x = 1,535,256.03/1,036.98
  6. Step 6: Final answer
    x = 1,480.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.