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Finding the Fourth Proportional to 1,017.39, 1,526.10 and 440.25

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Solution

The fourth proportional to 1,017.39, 1,526.10 and 440.25 is: 660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.39 : 1,526.10 = 440.25 : x
  2. Step 2: Convert to fraction form
    1,017.39/1,526.10 = 440.25/x
  3. Step 3: Cross multiply
    1,017.39x = 1,526.10 × 440.25
  4. Step 4: Simplify right side
    1,017.39x = 671,865.53
  5. Step 5: Solve for x
    x = 671,865.53/1,017.39
  6. Step 6: Final answer
    x = 660.38

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Double scale
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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.