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Finding the Fourth Proportional to 1,165.58, 1,756.54 and 1,050.16

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Solution

The fourth proportional to 1,165.58, 1,756.54 and 1,050.16 is: 1,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.58 : 1,756.54 = 1,050.16 : x
  2. Step 2: Convert to fraction form
    1,165.58/1,756.54 = 1,050.16/x
  3. Step 3: Cross multiply
    1,165.58x = 1,756.54 × 1,050.16
  4. Step 4: Simplify right side
    1,165.58x = 1,844,648.05
  5. Step 5: Solve for x
    x = 1,844,648.05/1,165.58
  6. Step 6: Final answer
    x = 1,582.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.