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Finding the Fourth Proportional to 830.84, 1,146.76 and 565.16

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Solution

The fourth proportional to 830.84, 1,146.76 and 565.16 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,146.76 = 565.16 : x
  2. Step 2: Convert to fraction form
    830.84/1,146.76 = 565.16/x
  3. Step 3: Cross multiply
    830.84x = 1,146.76 × 565.16
  4. Step 4: Simplify right side
    830.84x = 648,095.73
  5. Step 5: Solve for x
    x = 648,095.73/830.84
  6. Step 6: Final answer
    x = 780.05

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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.