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Finding the Fourth Proportional to 1,345.10, 1,856.23 and 755.64

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Solution

The fourth proportional to 1,345.10, 1,856.23 and 755.64 is: 1,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.10 : 1,856.23 = 755.64 : x
  2. Step 2: Convert to fraction form
    1,345.10/1,856.23 = 755.64/x
  3. Step 3: Cross multiply
    1,345.10x = 1,856.23 × 755.64
  4. Step 4: Simplify right side
    1,345.10x = 1,402,632.36
  5. Step 5: Solve for x
    x = 1,402,632.36/1,345.10
  6. Step 6: Final answer
    x = 1,042.77

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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.