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Finding the Fourth Proportional to 1,307.34, 1,802.34 and 887.06

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Solution

The fourth proportional to 1,307.34, 1,802.34 and 887.06 is: 1,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.34 : 1,802.34 = 887.06 : x
  2. Step 2: Convert to fraction form
    1,307.34/1,802.34 = 887.06/x
  3. Step 3: Cross multiply
    1,307.34x = 1,802.34 × 887.06
  4. Step 4: Simplify right side
    1,307.34x = 1,598,783.72
  5. Step 5: Solve for x
    x = 1,598,783.72/1,307.34
  6. Step 6: Final answer
    x = 1,222.93

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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.