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Finding the Fourth Proportional to 748.75, 1,035.59 and 592.93

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Solution

The fourth proportional to 748.75, 1,035.59 and 592.93 is: 820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.75 : 1,035.59 = 592.93 : x
  2. Step 2: Convert to fraction form
    748.75/1,035.59 = 592.93/x
  3. Step 3: Cross multiply
    748.75x = 1,035.59 × 592.93
  4. Step 4: Simplify right side
    748.75x = 614,032.38
  5. Step 5: Solve for x
    x = 614,032.38/748.75
  6. Step 6: Final answer
    x = 820.08

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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.