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Finding the Fourth Proportional to 895.06, 1,342.59 and 730.36

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Solution

The fourth proportional to 895.06, 1,342.59 and 730.36 is: 1,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.06 : 1,342.59 = 730.36 : x
  2. Step 2: Convert to fraction form
    895.06/1,342.59 = 730.36/x
  3. Step 3: Cross multiply
    895.06x = 1,342.59 × 730.36
  4. Step 4: Simplify right side
    895.06x = 980,569.53
  5. Step 5: Solve for x
    x = 980,569.53/895.06
  6. Step 6: Final answer
    x = 1,095.53

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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.