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Finding the Fourth Proportional to 910.10, 1,364.13 and 597.38

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Solution

The fourth proportional to 910.10, 1,364.13 and 597.38 is: 895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.10 : 1,364.13 = 597.38 : x
  2. Step 2: Convert to fraction form
    910.10/1,364.13 = 597.38/x
  3. Step 3: Cross multiply
    910.10x = 1,364.13 × 597.38
  4. Step 4: Simplify right side
    910.10x = 814,897.16
  5. Step 5: Solve for x
    x = 814,897.16/910.10
  6. Step 6: Final answer
    x = 895.40

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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.