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Finding the Fourth Proportional to 897.24, 1,345.46 and 623.46

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Solution

The fourth proportional to 897.24, 1,345.46 and 623.46 is: 934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,345.46 = 623.46 : x
  2. Step 2: Convert to fraction form
    897.24/1,345.46 = 623.46/x
  3. Step 3: Cross multiply
    897.24x = 1,345.46 × 623.46
  4. Step 4: Simplify right side
    897.24x = 838,837.37
  5. Step 5: Solve for x
    x = 838,837.37/897.24
  6. Step 6: Final answer
    x = 934.91

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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.