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Finding the Fourth Proportional to 923.58, 1,274.76 and 830.16

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Solution

The fourth proportional to 923.58, 1,274.76 and 830.16 is: 1,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.58 : 1,274.76 = 830.16 : x
  2. Step 2: Convert to fraction form
    923.58/1,274.76 = 830.16/x
  3. Step 3: Cross multiply
    923.58x = 1,274.76 × 830.16
  4. Step 4: Simplify right side
    923.58x = 1,058,254.76
  5. Step 5: Solve for x
    x = 1,058,254.76/923.58
  6. Step 6: Final answer
    x = 1,145.82

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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.