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Finding the Fourth Proportional to 1,345.64, 1,856.74 and 756.12

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Solution

The fourth proportional to 1,345.64, 1,856.74 and 756.12 is: 1,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.64 : 1,856.74 = 756.12 : x
  2. Step 2: Convert to fraction form
    1,345.64/1,856.74 = 756.12/x
  3. Step 3: Cross multiply
    1,345.64x = 1,856.74 × 756.12
  4. Step 4: Simplify right side
    1,345.64x = 1,403,918.25
  5. Step 5: Solve for x
    x = 1,403,918.25/1,345.64
  6. Step 6: Final answer
    x = 1,043.31

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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.