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Finding the Fourth Proportional to 1,363, 2,045.32 and 497.40

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Solution

The fourth proportional to 1,363, 2,045.32 and 497.40 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363 : 2,045.32 = 497.40 : x
  2. Step 2: Convert to fraction form
    1,363/2,045.32 = 497.40/x
  3. Step 3: Cross multiply
    1,363x = 2,045.32 × 497.40
  4. Step 4: Simplify right side
    1,363x = 1,017,342.17
  5. Step 5: Solve for x
    x = 1,017,342.17/1,363
  6. Step 6: Final answer
    x = 746.40

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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.