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Finding the Fourth Proportional to 1,130.23, 1,695.07 and 436.65

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Solution

The fourth proportional to 1,130.23, 1,695.07 and 436.65 is: 654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,695.07 = 436.65 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,695.07 = 436.65/x
  3. Step 3: Cross multiply
    1,130.23x = 1,695.07 × 436.65
  4. Step 4: Simplify right side
    1,130.23x = 740,152.32
  5. Step 5: Solve for x
    x = 740,152.32/1,130.23
  6. Step 6: Final answer
    x = 654.87

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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.