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Finding the Fourth Proportional to 897.93, 1,345.10 and 410.31

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Solution

The fourth proportional to 897.93, 1,345.10 and 410.31 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.93 : 1,345.10 = 410.31 : x
  2. Step 2: Convert to fraction form
    897.93/1,345.10 = 410.31/x
  3. Step 3: Cross multiply
    897.93x = 1,345.10 × 410.31
  4. Step 4: Simplify right side
    897.93x = 551,905.93
  5. Step 5: Solve for x
    x = 551,905.93/897.93
  6. Step 6: Final answer
    x = 614.64

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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.