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Finding the Fourth Proportional to 895.15, 1,342.66 and 456.13

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Solution

The fourth proportional to 895.15, 1,342.66 and 456.13 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.15 : 1,342.66 = 456.13 : x
  2. Step 2: Convert to fraction form
    895.15/1,342.66 = 456.13/x
  3. Step 3: Cross multiply
    895.15x = 1,342.66 × 456.13
  4. Step 4: Simplify right side
    895.15x = 612,423.01
  5. Step 5: Solve for x
    x = 612,423.01/895.15
  6. Step 6: Final answer
    x = 684.16

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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.