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Finding the Fourth Proportional to 1,458.95, 2,013.38 and 795.82

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Solution

The fourth proportional to 1,458.95, 2,013.38 and 795.82 is: 1,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.95 : 2,013.38 = 795.82 : x
  2. Step 2: Convert to fraction form
    1,458.95/2,013.38 = 795.82/x
  3. Step 3: Cross multiply
    1,458.95x = 2,013.38 × 795.82
  4. Step 4: Simplify right side
    1,458.95x = 1,602,288.07
  5. Step 5: Solve for x
    x = 1,602,288.07/1,458.95
  6. Step 6: Final answer
    x = 1,098.25

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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.