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Finding the Fourth Proportional to 795.48, 1,097.72 and 446.16

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Solution

The fourth proportional to 795.48, 1,097.72 and 446.16 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,097.72 = 446.16 : x
  2. Step 2: Convert to fraction form
    795.48/1,097.72 = 446.16/x
  3. Step 3: Cross multiply
    795.48x = 1,097.72 × 446.16
  4. Step 4: Simplify right side
    795.48x = 489,758.76
  5. Step 5: Solve for x
    x = 489,758.76/795.48
  6. Step 6: Final answer
    x = 615.68

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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.