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Finding the Fourth Proportional to 975.32, 1,455.85 and 846.23

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Solution

The fourth proportional to 975.32, 1,455.85 and 846.23 is: 1,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.32 : 1,455.85 = 846.23 : x
  2. Step 2: Convert to fraction form
    975.32/1,455.85 = 846.23/x
  3. Step 3: Cross multiply
    975.32x = 1,455.85 × 846.23
  4. Step 4: Simplify right side
    975.32x = 1,231,974.55
  5. Step 5: Solve for x
    x = 1,231,974.55/975.32
  6. Step 6: Final answer
    x = 1,263.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.