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Finding the Fourth Proportional to 780.04, 1,175.36 and 646.08

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Solution

The fourth proportional to 780.04, 1,175.36 and 646.08 is: 973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.04 : 1,175.36 = 646.08 : x
  2. Step 2: Convert to fraction form
    780.04/1,175.36 = 646.08/x
  3. Step 3: Cross multiply
    780.04x = 1,175.36 × 646.08
  4. Step 4: Simplify right side
    780.04x = 759,376.59
  5. Step 5: Solve for x
    x = 759,376.59/780.04
  6. Step 6: Final answer
    x = 973.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.