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Finding the Fourth Proportional to 738.86, 1,019.82 and 458.93

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Solution

The fourth proportional to 738.86, 1,019.82 and 458.93 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.86 : 1,019.82 = 458.93 : x
  2. Step 2: Convert to fraction form
    738.86/1,019.82 = 458.93/x
  3. Step 3: Cross multiply
    738.86x = 1,019.82 × 458.93
  4. Step 4: Simplify right side
    738.86x = 468,030.26
  5. Step 5: Solve for x
    x = 468,030.26/738.86
  6. Step 6: Final answer
    x = 633.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.