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Finding the Fourth Proportional to 830.84, 1,146.06 and 597.56

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Solution

The fourth proportional to 830.84, 1,146.06 and 597.56 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,146.06 = 597.56 : x
  2. Step 2: Convert to fraction form
    830.84/1,146.06 = 597.56/x
  3. Step 3: Cross multiply
    830.84x = 1,146.06 × 597.56
  4. Step 4: Simplify right side
    830.84x = 684,839.61
  5. Step 5: Solve for x
    x = 684,839.61/830.84
  6. Step 6: Final answer
    x = 824.27

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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.