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Finding the Fourth Proportional to 1,307.47, 1,802.53 and 987.04

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Solution

The fourth proportional to 1,307.47, 1,802.53 and 987.04 is: 1,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.47 : 1,802.53 = 987.04 : x
  2. Step 2: Convert to fraction form
    1,307.47/1,802.53 = 987.04/x
  3. Step 3: Cross multiply
    1,307.47x = 1,802.53 × 987.04
  4. Step 4: Simplify right side
    1,307.47x = 1,779,159.78
  5. Step 5: Solve for x
    x = 1,779,159.78/1,307.47
  6. Step 6: Final answer
    x = 1,360.77

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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.