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Finding the Fourth Proportional to 1,410.64, 1,946.68 and 781.20

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Solution

The fourth proportional to 1,410.64, 1,946.68 and 781.20 is: 1,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 1,946.68 = 781.20 : x
  2. Step 2: Convert to fraction form
    1,410.64/1,946.68 = 781.20/x
  3. Step 3: Cross multiply
    1,410.64x = 1,946.68 × 781.20
  4. Step 4: Simplify right side
    1,410.64x = 1,520,746.42
  5. Step 5: Solve for x
    x = 1,520,746.42/1,410.64
  6. Step 6: Final answer
    x = 1,078.05

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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.