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Finding the Fourth Proportional to 1,023.40, 1,533.73 and 373.51

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Solution

The fourth proportional to 1,023.40, 1,533.73 and 373.51 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,533.73 = 373.51 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,533.73 = 373.51/x
  3. Step 3: Cross multiply
    1,023.40x = 1,533.73 × 373.51
  4. Step 4: Simplify right side
    1,023.40x = 572,863.49
  5. Step 5: Solve for x
    x = 572,863.49/1,023.40
  6. Step 6: Final answer
    x = 559.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.