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Finding the Fourth Proportional to 1,265.64, 1,746.53 and 706.10

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Solution

The fourth proportional to 1,265.64, 1,746.53 and 706.10 is: 974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.64 : 1,746.53 = 706.10 : x
  2. Step 2: Convert to fraction form
    1,265.64/1,746.53 = 706.10/x
  3. Step 3: Cross multiply
    1,265.64x = 1,746.53 × 706.10
  4. Step 4: Simplify right side
    1,265.64x = 1,233,212.57
  5. Step 5: Solve for x
    x = 1,233,212.57/1,265.64
  6. Step 6: Final answer
    x = 974.38

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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.