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Finding the Fourth Proportional to 1,594, 2,389.78 and 497.71

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Solution

The fourth proportional to 1,594, 2,389.78 and 497.71 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594 : 2,389.78 = 497.71 : x
  2. Step 2: Convert to fraction form
    1,594/2,389.78 = 497.71/x
  3. Step 3: Cross multiply
    1,594x = 2,389.78 × 497.71
  4. Step 4: Simplify right side
    1,594x = 1,189,417.40
  5. Step 5: Solve for x
    x = 1,189,417.40/1,594
  6. Step 6: Final answer
    x = 746.18

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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.