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Finding the Fourth Proportional to 1,017.54, 1,526.57 and 470.11

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Solution

The fourth proportional to 1,017.54, 1,526.57 and 470.11 is: 705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.54 : 1,526.57 = 470.11 : x
  2. Step 2: Convert to fraction form
    1,017.54/1,526.57 = 470.11/x
  3. Step 3: Cross multiply
    1,017.54x = 1,526.57 × 470.11
  4. Step 4: Simplify right side
    1,017.54x = 717,655.82
  5. Step 5: Solve for x
    x = 717,655.82/1,017.54
  6. Step 6: Final answer
    x = 705.29

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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.