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Finding the Fourth Proportional to 815.19, 1,123.10 and 602.57

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Solution

The fourth proportional to 815.19, 1,123.10 and 602.57 is: 830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.19 : 1,123.10 = 602.57 : x
  2. Step 2: Convert to fraction form
    815.19/1,123.10 = 602.57/x
  3. Step 3: Cross multiply
    815.19x = 1,123.10 × 602.57
  4. Step 4: Simplify right side
    815.19x = 676,746.37
  5. Step 5: Solve for x
    x = 676,746.37/815.19
  6. Step 6: Final answer
    x = 830.17

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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.