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Finding the Fourth Proportional to 1,445.61, 1,994.93 and 782.45

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Solution

The fourth proportional to 1,445.61, 1,994.93 and 782.45 is: 1,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.61 : 1,994.93 = 782.45 : x
  2. Step 2: Convert to fraction form
    1,445.61/1,994.93 = 782.45/x
  3. Step 3: Cross multiply
    1,445.61x = 1,994.93 × 782.45
  4. Step 4: Simplify right side
    1,445.61x = 1,560,929.51
  5. Step 5: Solve for x
    x = 1,560,929.51/1,445.61
  6. Step 6: Final answer
    x = 1,079.77

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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.