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Finding the Fourth Proportional to 840.51, 1,159.92 and 491.40

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Solution

The fourth proportional to 840.51, 1,159.92 and 491.40 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.51 : 1,159.92 = 491.40 : x
  2. Step 2: Convert to fraction form
    840.51/1,159.92 = 491.40/x
  3. Step 3: Cross multiply
    840.51x = 1,159.92 × 491.40
  4. Step 4: Simplify right side
    840.51x = 569,984.69
  5. Step 5: Solve for x
    x = 569,984.69/840.51
  6. Step 6: Final answer
    x = 678.14

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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.